SOLUTION: please help me with my assignment.. thank you.. how many liters of a face cream that cost P3360 per liter must be mixed with 12 liters of face cream that cost P1120 to make a fa

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Question 176340: please help me with my assignment.. thank you..
how many liters of a face cream that cost P3360 per liter must be mixed with 12 liters of face cream that cost P1120 to make a face cream that cost P1650 per liter?

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=unknown, mixed with face cream that cost 3360.00.
y=12L=face cream that cost 1120.00
highlight%28z=x%2By=x%2B12%29=resultant mixture of x & y when mixed that cost 1650.00
It follows the eqn when mixed:

Subst. highlighted:
%283360%2FL%29%28x%29%2B13440=%281650%2FL%29%28x%2B12L%29
%283360%2FL%29%28x%29%2B13440=%281650%2FL%29%28x%29%2B19800
%283360%2FL%29x-%281650%29x=19800-13440
%281710%2FL%29%28x%29=6360

highlight%28x=3.72L%29, Answer
Check by going back:
3360%283.72%29%2B13440=1650%283.72%2B12%29
12499.20%2B13440=1650%2815.72%29
25939.20%3E=25938.00 close enough bec we round off.
Thank you,
Jojo