Question

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 533 milliliters of the drug, how many milliliters of compound B are needed?

Answer 1

Answer:

$304\dfrac{4}{7}\ milliliters$

Step-by-step explanation:

If there are 3 milliliters of compound A used for every 4 milliliters of compound B, then we can denote that we use 3x milliliters of compound A and 4x milliliters of compound B to get 533 milliliters of the drug. Thus,

$3x+4x=533,\\ \\7x=533,\\ \\x=\dfrac{533}{7}\ milliliters.$

Hence, a chemist must take

$4\cdot \dfrac{533}{7}=\dfrac{2132}{7}=304\dfrac{4}{7}\ milliliters$

of compound B.

Answer 2

Answer:

228.43 ml

Step-by-step explanation:

The ratio of compound A to compound B will be; 4: 3

4:3 is the same as 4x:3x where 4x is compound A and 3x is compound B.

We can solve for "x":

If amount of compound A is 4x  and compound B is 3x;

Then; 4x + 3x = 533

            7 x = 533

               x = 533/7

Then amount of compound B is 3x = 3(533/7)

                                                          = 228.43 ml