Exam 4: Solving for the Unknown

5(Z + 60) = 900; Z = 120.

Andy Foll is 6 times as old as Mel Kaas. Andy is 15 years older than Mel. What is Mel's age?

1/7 of all sales were for cash. If cash sales were $28,000, what were the total sales?

At Shaw's Market, apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint: Let A = cases of apples.)

Staples sells CDs ($2.00) and boxes of computer paper ($3). If total sales were $1,560 and customers bought 5 times as many CDs as boxes of computer paper, how many CDs were sold?

Coffee costs $12 per case, and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,600, what was the specific number of cases of tea? (Hint: Let C = cases of coffee.)

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.) A + 80 = 165

Marika is 8 times Barry's age. If the difference in their age is 7 years, how old is Marika?

B - 11 = 40; B = 29.

C + 100 = 55; C equals:

7B - 70 = 140

8G = 96; G equals:

8 (A - 5) = 70

Melons cost $20 per crate, and apples cost $8 per crate. An order comes in for a total of 48 crates for $420. What was the number of crates of melons and apples? (Let crates of melons = M.)

Riley and Ayu sold a total of 1,080 iPads. Riley sold 7 times as many as Ayu. How many did each sell?

In word problems, the word "of" indicates an equal sign.

Belts cost $160 per carton, and shoes cost $465 per carton. If an order comes in for a total of 88 cartons for $19,265, what is the number of cartons of belts? (Hint: Let S = cartons of shoes.)

More than one unknown in a word problem can be represented in terms of the same variable assigned to first unknown.

Art Neuner and Paul Kosponato sell trucks for Blue Auto. Over the past year, they sold 240 trucks. Assuming Paul sells 7 times as many as Art, how many trucks did each sell?

20(C - 9) means the 20 is multiplied only times the C to clear the parentheses.