Deck 5: Ratio and Proportion

Question 1

Round each number as indicated.
9903 to the nearest hundred

Answer 1

Question 2

A recipe can be used to make as much of a mixture as you need as long as the ingredients are kept proportional. Use the recipe for a homemade mixture of sugar water for hummingbird feeders to answer these problems.
What is the ratio of sugar to water in the recipe What is the ratio of water to sugar

Answer 2

In the recipe for a homemade mixture of sugar water for hummingbird feeders, the ratio of sugar to water must be to 4 ratios.
So basically 1 part of sugar is mixed with, 4 parts of water, therefore the required ratio of sugar to water in the recipe is In other words 4 part of water is mixed with, 1 part of sugar, therefore the required ratio of water to sugar in the recipe is

Question 3

Write each ratio as a fraction in lowest terms. Change to the same units when necessary, using the table of measurement comparisons in the first section of this chapter. Use the information in the graph to answer Exercises 1-3.

Ratio of orca whale's length to whale shark's length

Answer 3

Let us draw the given table of average length of shark and whales: From the above table it is very clear that the ratio of Orca whale's length to whale shark's length is .
Now we write the ratio in lowest term by dividing out common factors, Therefore the ratio in lowest term is

Question 4

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
16 fish to 20 fish

Question 5

Round each number as indicated.
617.0519 to the nearest tenth

Question 6

A recipe can be used to make as much of a mixture as you need as long as the ingredients are kept proportional. Use the recipe for a homemade mixture of sugar water for hummingbird feeders to answer these problems.
Complete each table.

Question 7

Write each ratio as a fraction in lowest terms. Change to the same units when necessary, using the table of measurement comparisons in the first section of this chapter. Use the information in the graph to answer Exercises 1-3.

Ratio of blue whale's length to great white shark's length

Question 8

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
300 miles on 15 gallons

Question 9

Round each number as indicated.
$99.81 to the nearest dollar

Question 10

A recipe can be used to make as much of a mixture as you need as long as the ingredients are kept proportional. Use the recipe for a homemade mixture of sugar water for hummingbird feeders to answer these problems.
How much water would you need if you used
3 cups of sugar
4 cups of sugar
1/3 cup of sugar

Question 11

Write each ratio as a fraction in lowest terms. Change to the same units when necessary, using the table of measurement comparisons in the first section of this chapter. Use the information in the graph to answer Exercises 1-3.

Which two animals' lengths give a ratio of There are several answers.

Question 12

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
$15 for 75 minutes

Question 13

Simplify.
Round each number as indicated.
$3.0555 to the nearest cent

Question 14

A recipe can be used to make as much of a mixture as you need as long as the ingredients are kept proportional. Use the recipe for a homemade mixture of sugar water for hummingbird feeders to answer these problems.
As you change the amounts of water and sugar, should you change the length of time that you boil the mixture Explain your answer.

Question 15

50 to $1.25

Question 16

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
3 hours to 40 minutes

Question 17

Simplify.
30 - 0.66

Question 18

30 to $0.45

Question 19

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
The little theater at our college has 320 seats. The auditorium has 1200 seats. Find the ratio of auditorium seats to theater seats.

Question 20

Simplify.
Write the answer using R for the remainder.

Question 21

Question 22

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
Use the information in the table about Quizno's honey mustard chicken sub sandwich to find the best buy.
Source: Quizno's

Question 23

Simplify.
(1.9) (0.004)

Question 24

Question 25

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
Find the best buy on spaghetti sauce. You have a coupon for 75¢ off Brand X and a coupon for 50¢ off Brand Y.
26 ounces of Brand X for $3.89
16 ounces of Brand Y for $1.89
14 ounces of Brand Z for $1.29

Question 26

Simplify.
3020 - 708

Question 27

5 hours to 100 minutes

Question 28

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
Suppose the ratio of your income last year to your income this year is 3 to 2. Explain what this means. Give an example of the dollars earned last year and this year that fits the 3 to 2 ratio.

Question 29

Simplify.
0.401 + 62.98 + 5

Question 30

to 2 ft

Question 31

Determine whether each proportion is true or false. Show your work and then write true or false.

Question 32

Simplify.
1.39 ÷ 0.025

Question 33

1 ton to 1500 pounds

Question 34

Determine whether each proportion is true or false. Show your work and then write true or false.

Question 35

Simplify.
36 + 18 ÷ 6

Question 36

8 hours to 3 days

Question 37

Find the unknown number in each proportion. In Problems 11-13, round the answers to the nearest hundredth, if necessary.

Question 38

Simplify.
8 ÷ 4 + (10 - 3 2 ) •4 2

Question 39

Jake sold $350 worth of his kachina figures. Ramona sold $500 worth of her pottery. What is the ratio of Ramona's sales to Jake's sales

Question 40

Find the unknown number in each proportion. In Problems 11-13, round the answers to the nearest hundredth, if necessary.

Question 41

Simplify.

Question 42

Wei's new car gets 35 miles per gallon. Her old car got 25 miles per gallon. Find the ratio of the new car's mileage to the old car's mileage.

Question 43

Find the unknown number in each proportion. In Problems 11-13, round the answers to the nearest hundredth, if necessary.

Question 44

Simplify.
(16.2 - 5.85) - 2.35 (4)

Question 45

This fall, 6000 students are taking math courses and 7200 students are taking English courses. Find the ratio of math students to English students.

Question 46

Find the unknown number in each proportion. In Problems 11-13, round the answers to the nearest hundredth, if necessary.

Question 47

Simplify.
Write 0.0105 in words.

Question 48

Write each rate as a fraction in lowest terms.
$88 for 8 dozen

Question 49

Set up and solve a proportion for each application problem.
Pedro entered 18 orders into his computer in thirty minutes at his job. At that rate, how many orders could he enter in forty minutes

Question 50

Simplify.
Write sixty and seventy-one thousandths in numbers.

Question 51

Write each rate as a fraction in lowest terms.
96 children in 40 families

Question 52

Set up and solve a proportion for each application problem.
Just 0.8 ounce of wildflower seeds is enough for 50 square feet of ground. What weight of seeds is needed for a garden with 225 square feet ( Source: White Swan Ltd.)

Question 53

In a survey of 1000 adults, 550 drank coffee daily, 250 drank coffee occasionally, and 200 never drank coffee. Use this information for Exercises 17-18. Write each ratio as a fraction in lowest terms.
What is the ratio of those who do not drink coffee to the total number of people in the survey

Question 54

Write each rate as a fraction in lowest terms.
When entering data into his computer, Patrick can type four pages in 20 minutes. Give his rate in pages per minute and minutes per page.

Question 55

Set up and solve a proportion for each application problem.
About 2 out of every 15 people are left-handed. How many of the 650 students in our school would you expect to be left-handed Round to the nearest whole number.

Question 56

In a survey of 1000 adults, 550 drank coffee daily, 250 drank coffee occasionally, and 200 never drank coffee. Use this information for Exercises 17-18. Write each ratio as a fraction in lowest terms.
Find the ratio of all the adults who drink coffee to those who never drink it.

Question 57

Write each rate as a fraction in lowest terms.
Elena made $60 in three hours. Give her earnings in dollars per hour and hours per dollar.

Question 58

Set up and solve a proportion for each application problem.
A student set up the proportion for Problem 17 this way and arrived at an answer of 4875.

Because the cross products are equal, the student said the answer is correct. Is the student right Explain why or why not.
About 2 out of every 15 people are left-handed. How many of the 650 students in our school would you expect to be left-handed Round to the nearest whole number.

Question 59

Nest boxes for birds are made with different sizes of entry holes. Then, only certain types of birds can use the nest box and it helps prevent entry by predators. Use the information in the table to answer Exercises 19-20. The diameter is the distance across the opening at its widest point.

List the nest box openings in order from smallest to largest.

Question 60

Find the best buy.
Minced onion
8 ounces for $4.98
3 ounces for $2.49
2 ounces for $1.89

Question 61

Set up and solve a proportion for each application problem.
A medication is given at the rate of 8.2 grams for every 50 pounds of body weight. How much should be given to a 145-pound person Round to the nearest tenth of a gram.

Question 62

Nest boxes for birds are made with different sizes of entry holes. Then, only certain types of birds can use the nest box and it helps prevent entry by predators. Use the information in the table to answer Exercises 19-20. The diameter is the distance across the opening at its widest point.

What is the difference in diameter between the openings for an eastern bluebird and a western bluebird Write your answer as a fraction and as a decimal.

Question 63

Find the best buy.
Dog food; you have a coupon for $1 off on 8 pounds or more.
35.2 pounds for $36.96
17.6 pounds for $18.69
3.5 pounds for $4.25

Question 64

Set up and solve a proportion for each application problem.
On a scale model, 1 in. represents 8 ft. If a building in the model is 7.5 in. tall, what is the actual height of the building in feet

Question 65

Find the unknown number in each proportion. Round your answers to the nearest hundredth, when necessary.

Question 66

Use either the method of writing in lowest terms or the method of finding cross products to decide whether each proportion is true or false. Show your work and then write true or false.

Question 67

Find the unknown number in each proportion. Round your answers to the nearest hundredth, when necessary.

Question 68

Use either the method of writing in lowest terms or the method of finding cross products to decide whether each proportion is true or false. Show your work and then write true or false.

Question 69

Find the unknown number in each proportion. Round your answers to the nearest hundredth, when necessary.

Question 70

Use either the method of writing in lowest terms or the method of finding cross products to decide whether each proportion is true or false. Show your work and then write true or false.

Question 71

Solve each application problem.
The college honor society has a goal of collecting 1500 pounds of food to fill Thanksgiving baskets. So far it has collected 5/6 of the goal. How many more pounds are needed

Question 72

Use either the method of writing in lowest terms or the method of finding cross products to decide whether each proportion is true or false. Show your work and then write true or false.

Question 73

Solve each application problem.
Tara has a photo that is 10 centimeters wide by 15 centimeters long. If the photo is enlarged to a length of 40 centimeters, find the new width, to the nearest tenth.

Question 74

Use either the method of writing in lowest terms or the method of finding cross products to decide whether each proportion is true or false. Show your work and then write true or false.

Question 75

Solve each application problem.
The distance around Dunning Pond is 1 1/10 miles. Norma ran around the pond four times in the morning and 2 ½ times in the afternoon. How far did she run in all

Question 76

Use either the method of writing in lowest terms or the method of finding cross products to decide whether each proportion is true or false. Show your work and then write true or false.

Question 77

Solve each application problem.
Find the best buy on instant mashed potatoes. You have a coupon for 50¢ off either the 34-serving or 65-serving box.
A box that makes 20 servings for $2.15
A box that makes 34 servings for $3.35
A box that makes 65 servings for $10.41

Question 78

Find the unknown number in each proportion. Round answers to the nearest hundredth, if necessary.

Question 79

Solve each application problem.
In a survey, 5 out of 8 apartment residents said they are sometimes bothered by noise from their neighbors. How many of the 224 residents at Harris Towers would you expect to be bothered by noise

Question 80

Find the unknown number in each proportion. Round answers to the nearest hundredth, if necessary.