SOLUTION: red needs 50 ml of 17% sucrose solution to do his science experiment. He needs to mix a 10% sucrose solution with some 30% sucrose solution to get the 17% solution he wants. How mu

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Question 1051350: red needs 50 ml of 17% sucrose solution to do his science experiment. He needs to mix a 10% sucrose solution with some 30% sucrose solution to get the 17% solution he wants. How much of each should Fred use?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, how much of the 30% material
50-x, how much of the 10% material

%2810%2850-x%29%2B30%2Ax%29%2F50=17

500-10x%2B30x=17%2A50

50-x%2B3x=17%2A5

2x%2B50=17%2A5

2x=17%2A5-50

2x=35

x=35%2F2=17%261%2F2

17.5*mL of the 30 % sucrose solution;
32.5*mL of the 10% sucrose solution.


two-part mixture to find both parts