SOLUTION: how many litres of 3% of mixture must be added to 24 litres of 6% mixture to make a 4% mixture

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Question 266260: how many litres of 3% of mixture must be added to 24 litres of 6% mixture to make a 4% mixture

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x = liters needed
%28.03x+%2B+.06%2A24%29%2F%28x+%2B+24%29+=+.04
.03x+%2B+1.44+=+.04%2A%28x+%2B+24%29
.03x+%2B+1.44+=+.04x+%2B+.96
Multiply both sides by 100
3x+%2B+144+=+4x+%2B+96
x+=+144+-+96
x+=+48
48 liters of 3% mixture must be added
check:
%28.03x+%2B+.06%2A24%29%2F%28x+%2B+24%29+=+.04
%28.03%2A48+%2B+.06%2A24%29%2F%2848+%2B+24%29+=+.04
%281.44+%2B+1.44%29%2F72+=+.04
2.88%2F72+=+.04
2.88+=+2.88
OK