Question

A certain drug is made from only two ingredients: compound A and compound B. There are 4 milliliters of compound A used for every 7 milliliters of compound B. If a chemist wants to make 693 milliliters of the drug, how many milliliters of compound B are needed?

Answer 1

To make 693 milliliters of the drug with a ratio of 4 mL of compound A to 7 mL of compound B, 441 milliliters of compound B are needed.

Step-by-step explanation:

To determine how many milliliters of compound B are needed to make 693 milliliters of the drug, considering the given ratio of 4 milliliters of compound A for every 7 milliliters of compound B, we will use a proportion. The total volume of the drug is the sum of the volumes of compound A and compound B.

First, let's establish a ratio based on the given information:

Compound A : Compound B = 4 mL : 7 mL

We can express the total volume (V) as:

V = Volume of Compound A + Volume of Compound B

The volume of Compound A and Compound B given their ratio can be represented by:

Volume of Compound A = (4/11) * V

Volume of Compound B = (7/11) * V

Now, we substitute 693 mL for V to find the volume of Compound B needed:

Volume of Compound B = (7/11) * 693 mL = 7 * 63 mL = 441 mL

Therefore, 441 milliliters of compound B are needed to make 693 milliliters of the drug.