Question 198832
This question has been answered <a href="http://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.198038.html">here</a>.


Edit:


From the previous solution, the given equation is {{{0.45x + 0.15 = 0.35(x + 1)}}}



{{{0.45x + 0.15 = 0.35(x + 1)}}} Start with the given equation.



{{{0.45x + 0.15 = 0.35x + 0.35}}} Distribute



{{{100(0.45x+0.15)=100(0.35x+0.35)}}} Multiply both sides by 100 to clear out the decimals.



{{{45x+15=35x+35}}} Distribute and multiply.



{{{45x=35x+35-15}}} 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=(20)/(10)}}} Divide both sides by {{{10}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


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