Question

If a 150 pound woman would receive 24 grams of a certain medicine. How many grams should a 120 pound woman receive?

Answer 1

With a problem like this, set up a proportion (like when making lemonade from a mix).

`(weight)/(medicine) = (weight)/(medicine)` is our proportion.

We fill in the the two weights and the 24 grams of medicine in the proportion and solve for the fourth piece not there.

`(150)/(24) =(120)/(M)`

We shorten medicine to M and we solve for M by cross multiplying.

`150M = 2880`

`M = (2880)/(150) = 19.2 grams`

The woman should get 19.2 grams of medicine.