SOLUTION: How much soil containing 45% sand do you need to add to 1 ft³ of soil containing 15% sand in order to make a soil containing 35% sand?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How much soil containing 45% sand do you need to add to 1 ft³ of soil containing 15% sand in order to make a soil containing 35% sand?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 198073: How much soil containing 45% sand do you need
to add to 1 ft³ of soil containing 15% sand in order
to make a soil containing 35% sand?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= ft3 of 45% sand soil needed
In words:
{ft3 sand in final mixture)/(total ft3 of mixture) = 35%
%28.45x+%2B+.15%2A1%29+%2F+%28x+%2B+1%29+=+.35
Multiply both sides by x+%2B+1
.45x+%2B+.15+=+.35%2A%28x+%2B+1%29
.45x+%2B+.15+=+.35x+%2B+.35
.1x+=+.2
x+=+2
2 ft3 of 45% sand soil is needed
check:
%28.45%2A2+%2B+.15%2A1%29+%2F+%282+%2B+1%29+=+.35
%28.9+%2B+.15%29+%2F+3+=+.35
1.05%2F3+=+.35
.35+=+.35
OK