Exam 2: Ratio and Proportion

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Set up a ratio and proportion in each of the following problems. Label and prove your answers. -There are 20 patient beds contained in each hospital unit. How many units would there be for a hospital with a 300-bed capacity?

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15 units Know \quad \quad \quad \quad \quad Want to Know
20 beds : lunit =300 =300 beds : x x units
 15 units Know    \quad   \quad   \quad   \quad   \quad   Want to Know 20 beds : lunit   =300   beds :   x   units     x=15   units   Proof:   20 \times 15=300      \quad   \quad 1 \times 300=300
x=15 x=15 units


Proof: 20×15=300 20 \times 15=300
\quad \quad 1×300=3001 \times 300=300

Set up a ratio and proportion in each of the following problems. Label and prove your answers. -The x-ray department schedules a chest x-ray every 15 min. How many chest x-rays can be taken in 7 hr?

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28 x-rays Know \quad \quad \quad \quad Want to Know
4x 4 \mathrm{x} -rays : 1hr=xx 1 \mathrm{hr}=x \mathrm{x} -rays : 7hr 7 \mathrm{hr}
x=4×7 x=4 \times 7
x=28 x=28 x-rays


Proof 4×7=28 4 \times 7=28
\quad \quad 1×28=28 1 \times 28=28

A child weighs 66 lb. How many kg does the child weigh? Conversion factor: 1 kg = 2.2 lb.

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30 Kg
Know \quad \quad \quad \quad Wanto Know
1 kg:2.2lb=x kg:66lb 1 \mathrm{~kg}: 2.2 \mathrm{lb}=x \mathrm{~kg}: 66 \mathrm{lb}
 30 Kg Know    \quad   \quad   \quad   \quad  Wanto Know   1 \mathrm{~kg}: 2.2 \mathrm{lb}=x \mathrm{~kg}: 66 \mathrm{lb}      x=30 \mathrm{~kg}     Proof:   1 \times 66=66      \quad   \quad 2.2 \times 30=66
x=30 kgx=30 \mathrm{~kg}



Proof: 1×66=66 1 \times 66=66
\quad \quad 2.2×30=662.2 \times 30=66

The patient needs to drink 8 oz of water every hr while awake (16 hr). How many mL of water will the patient drink? Conversion factor: 8 oz = 240 mL.

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The hospital assigns 4 interns to every resident. There are 7 residents. How many interns will the hospital need?

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The nurse receives 1.5 vacation/sick days per month after 5 years of service. How many vacation/sick days will the nurse receive per year?

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Your patient is being discharged and has to take 2 pills 3 times a day. How many pills will be needed for a 14-day supply?

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The computer has 4 gigabytes (GB) of memory. How many megabytes (MB) of memory does this equal? Conversion factor: 1024 MB = 1 .

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Set up a ratio and proportion in each of the following problems. Label and prove your answers. -If a patient needs to have three pills 4 times a day, how many pills will be needed for a 1-week supply?

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Solve for x, and prove your answer: 2:5=10:x2: 5=10: x

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A bottle of 40 tablets costs the pharmacy $100. How much does each tablet cost?

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The container holds 1.5 quarts. How many oz does it hold? Conversion factor: 32 oz = 1 quart.

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The medication prescription is for 60 tablets. If the patient takes 4 tablets a day, how many days will the prescription last?

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The patient takes 7 oral medications per day. How many medications does the patient take in 2 weeks? Conversion factor: 7 days = 1 week.

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Set up a ratio and proportion in each of the following problems. Label and prove your answers. -The patient must drink 8 oz of water every hr. How many oz will be consumed in 12 hr?

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How many min are in 4.5 hr? Conversion factor: 1 hr = 60 min.

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Set up a ratio and proportion in each of the following problems. Label and prove your answers. -The hospital offers up to $3000 in tuition reimbursement. If each course costs $500, how many courses can you take?

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How many syringes are there in a package of 10 dozen? Conversion factor: 1 dozen = 12 syringes.

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Set up a ratio and proportion in each of the following problems. Label and prove your answers. -A hospital hires one CNA for every 10 patients. How many CNAs will be needed for 200 patients?

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The patient is taking medicine to increase urinary output. The physician requested to be notified if the patient's urinary output fell below 1500 mL per 24 hr. The patient averages an output of 50 mL per hr. Should the physician be notified?

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