SOLUTION: A certain drug is made from only two ingredients: compound A and Compound B. There are 4 Ml of compound A used for every 7ml of compound B. If a chemist wants to make 1034 ml of t

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A certain drug is made from only two ingredients: compound A and Compound B. There are 4 Ml of compound A used for every 7ml of compound B. If a chemist wants to make 1034 ml of t      Log On


   

Question 1199576: A certain drug is made from only two ingredients: compound A and Compound B. There are 4 Ml of compound A used for every 7ml of compound B. If a chemist wants to make 1034 ml of the drug, how many ml of compound B are needed.
Found 2 solutions by math_tutor2020, josgarithmetic:
Answer by math_tutor2020(3817) About Me  (Show Source):
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This drug uses 4 mL of compound A for every 7 mL of compound B.

We arrive at the ratio 4:7
It scales up to 4x:7x for some positive real number x.

This means we have 4x mL of compound A combined with 7x mL of compound B to get 1034 mL total mixture.

A+B = total
4x+7x = 1034
11x = 1034
x = 1034/11
x = 94

Then,
4x = 4*94 = 376
7x = 7*94 = 658
represents the amounts of compound A and compound B respectively.

Answer: 658 mL

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
INGRED           RECIPE        PRODUCTION
-----------------------------------------------
compoundA          4                1034-b
compoundB          7                  b
TOTAL                              1034

b, assigned variable for the question
Recall the given ratio.

%281034-b%29%2Fb=4%2F7
-
7%281034-b%29=4b
4b=7%2A1034-7b
11b=7%2A1034
b=%287%2A1034%29%2F11
highlight%28b=658%29