Question

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 6 milliliters of compound B. If a chemist wants to make 1056 milliliters of the drug, how many milliliters of compound A are needed?

Answer 1

The chemist needs 480 mL of compound A to produce 1056 mL of the drug.

Explanation:

1. The base values of the ingredients given are 5 mL of compound A and 6 mL of compound B. Therefore, we can solve the total volume of the drug by adding the volumes of the 2 compounds together.

• 
  `5+6=11`

2. Now that we know the drug is 11 mL's, we can divide 1056 mL by 11 mL to see how many times the chemist must repeat the original base recipe to reach 1056 mL.

• 
  `1056/11=96`

3. Now we know that the base recipe must be repeated 96 times. Therefore, we can multiply each compound by 96 to see the total volume of each compound that is required to produce that amount of drug. However, the question only asks for compound A, so we only need to multiply it by 5.

• 
  `96*5=480`