A certain drug is made from only two ingredients. Compound a and compound b. There are four milliliters of compound a used for every three milliliters of compound b. If a chemist wants to make 385 ml of the drug, how many milliliters of the drug?How many milliliters of compound b are needed?
To find out how many milliliters of each compound are needed, we first need to determine the ratio of compound a to compound b in the drug.
The ratio is given as 4 ml of compound a to 3 ml of compound b.
Let x be the amount of compound b needed in milliliters.
Since the ratio of compound a to compound b is 4:3, we can set up the following equation:
4/3 = 385/x
Cross multiplying, we get:
4x = 1155
Dividing by 4, we find:
x = 288.75 ml
Therefore, 288.75 ml of compound b are needed to make 385 ml of the drug.
To find out how many milliliters of compound a are needed, we can use the ratio of 4:3 to determine that compound a is 4/7 of the total volume:
4/7 * 385 = 220 ml
Therefore, 220 ml of compound a are needed to make 385 ml of the drug.