SOLUTION: How much soil containing 45% sand do you need to add 1ft 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 1ft 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 198832: How much soil containing 45% sand do you need to add 1ft of soil containing 15% sand in order to make a soil containing 35% sand?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This question has been answered here.

Edit:

From the previous solution, the given equation is 0.45x+%2B+0.15+=+0.35%28x+%2B+1%29


0.45x+%2B+0.15+=+0.35%28x+%2B+1%29 Start with the given equation.


0.45x+%2B+0.15+=+0.35x+%2B+0.35 Distribute


100%280.45x%2B0.15%29=100%280.35x%2B0.35%29 Multiply both sides by 100 to clear out the decimals.


45x%2B15=35x%2B35 Distribute and multiply.


45x=35x%2B35-15 Subtract 15 from both sides.


45x-35x=35-15 Subtract 35x from both sides.


10x=35-15 Combine like terms on the left side.


10x=20 Combine like terms on the right side.


x=%2820%29%2F%2810%29 Divide both sides by 10 to isolate x.


x=2 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=2 which means that you need 2 cubic feet of soil containing 45% sand.