SOLUTION: When using a 2% cream and a 5% cream to produce a 4% cream how many part of each initial ingredient are needed?

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Question 884849: When using a 2% cream and a 5% cream to produce a 4% cream how many part of each initial ingredient are needed?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the resulting mixture 4% cream is 100 units quantity of mixture.
x is quantity of 2% cream
y is quantity of 5% cream

(2x+5y)/100=4 and x+y=100 correspondingly for concentration and for sum of parts.


2x+5y=400
and
x+y=100

The numbers allow for fairly easy use of Elimination Method to start.
2x+5y=400
and
2x+2y=200
-
-
3y=200
y=66.7 approximately, but theoretically 66%262%2F3 units.
Meaning, x=33%261%2F3 parts.
That would be for 100 units of finished 4% cream mixture.

Simpler meaning is, 1 part of 2% cream and 2 parts of the 5% cream.