SOLUTION: I forgot how to do this please help: a drug contains 2 types of ingredients, compound A and compound B. for every 5 Milliliters of compund A there is 3 milliliters of compound B.

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Question 745429: I forgot how to do this please help:
a drug contains 2 types of ingredients, compound A and compound B. for every 5 Milliliters of compund A there is 3 milliliters of compound B. the chemist wants to make 664 milliliters of the drug, how much of compound A is needed?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Volumes of compound A and B assign to x and y.
Description with those variable assignments renders x%2Fy=5%2F3 and x%2By=664. Just solve the system for x and y.

The question asks specifically, how much of compound A, assigned to variable x. You can solve one of the equations for y and substitute this into the other equation and solve for x. That will be your solution for x.

How about this:
x%2By=664
y=664-x
------------
x%2Fy=5%2F3
x=5y%2F3
x=5%28664-x%29%2F3 according to the substitution for y
x=%285%2A664-5%2Ax%29%2F3
3%2Ax=5%2A664-5%2Ax
3x%2B5x=5%2A664
8x=5%2A664
x=5%2A83
highlight%28x=415%29, milliliters of compound A