To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patients weight, how much antibiotic should be given to a patient who weighs 138 pounds?

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Answer:

480 milligrams

Step-by-step explanation:

92 138

—- ——-

320 X

Cross multiply

92x = 44160

—— ————

92 92

X = 480

Hello!

To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patients weight, how much antibiotic should be given to a patient who weighs 138 pounds?

  • Solution:

Weighs ........ milligrams

92 -------------- 320

138 ------------- X

multiply the means by the extremes

92*x = 320*138

92x = 44160

x = 44160/92

x = 480  

  • Answer:  

b) 480 milligrams

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