SOLUTION: I need to find a system of equations and solve. I'm not sure how i would set up the equation x ml of a 60% salt solution are mixed with y ml of a 90% salt solution. The result

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Question 755395: I need to find a system of equations and solve.
I'm not sure how i would set up the equation
x ml of a 60% salt solution are mixed with y ml of a 90% salt solution. The result is 35 ml of a 72% salt solution.

Found 2 solutions by lwsshak3, josgarithmetic:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find a system of equations and solve.
I'm not sure how i would set up the equation
x ml of a 60% salt solution are mixed with y ml of a 90% salt solution. The result is 35 ml of a 72% salt solution
***
let x=amount of 60% solution to be mixed with 90% solution
let y=amount of 90% solution to be mixed with 60% solution
x+y=35
60%x+90%y=72%*35
0.6x+0.9y=0.72*35
6x+9y=7.2*35
x=35-y
6(35-y)+9y=252
210-6y+9y=252
3y=42
y=14 ml
x=21 ml

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
System:highlight%28x%2By=35%29 and highlight%28%2860x%2B90y%29%2F35=72%29

Maybe continue like 60x%2B90y=35%2A72, y=35-x
60x%2B90%2835-x%29=35%2A72
6x%2B90%2A35-90x=35%2A72
6x-90x=35%2A72-90%2A35
%2890-6%29x=%2890-72%2935
86x=18%2A35
highlight%28x=9%2A35%2F43%29
.
.
and you know what else to do to continue
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.