SOLUTION: Danielle and her brother mixed together some soil and some clay to make 10 yd^3 of soil with 84% clay content. They used 6 yd^3 of clay and 4 yd^3 of a soil that they purchased. Wh

Question 830365: Danielle and her brother mixed together some soil and some clay to make 10 yd^3 of soil with 84% clay content. They used 6 yd^3 of clay and 4 yd^3 of a soil that they purchased. What was the clay content of the soil that they purchased?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The focus is on the concentration of the clay.

using "units" for "yard^3",
the mixture is 6 units clay plus 4 units soil;
6+4*r=theClay units, where r is a fraction in DECIMAL form. That is the mixture according to the purchased used quantities of clay and soil.

The first part of the description gives 10*0.84 units of clay, for the resulting mixture.

UnitsOfClayKnown=UnitsOfClayMixed

If this makes sense, then GOOD.

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The soil purchased contained 60% clay.
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