Question

A certain drug is made from only two ingredients: compound A and B. There are 5 milliliters of compound A used for every 7 milliliters of compound B. If a chemist wants to make 1104 milliliters of the drug, how many milliliters of compound a needed?

Answer 1

460 milliliters

Explanation:

We know that the ratio of A to B is 5:7. This means for every 5 milliliters of A, we need 7 milliliters of B. Let's use this ratio to find how many milliliters of A we need for 1104 milliliters of the drug.

First, we need to find out how many sets of 5:7 we have in 1104 milliliters. We can do this by dividing 1104 by the total number of parts in the ratio, which is 5 + 7 = 12.

1104 / 12 = 92

This means we have 92 sets of 5:7 in 1104 milliliters of the drug. To find how many milliliters of A we need, we simply multiply the number of sets by the amount of A in each set, which is 5 milliliters.

92 x 5 = 460

Therefore, we need 460 milliliters of compound A.