Soil that contains 30% clay is added to soil that contains 70% clay to create 10 gallons of soil containing 50% clay. How much of each of the soils was combined?

5 gallons of soil that contains 30% clay and 5 gallons of soil that contains 70% clay is combined

Step-by-step explanation:

Given:

Soil that contains 30% clay is added to soil that contains 70% clay to create 10 gallons of soil containing 50% clay.

Now, to find the quantity of each of the soils was combined.

Total quantity of soil  containing 50% clay = 10 gallons.

Let the quantity of soil that contains 30% clay be

And let the quantity of soil that contains 70% clay be

Now, to get the quantity of soils:

Subtracting both sides by 7 we get:

Dividing both sides by -0.4 we get:

The quantity of soil that contains 30% clay = 5 gallons.

Now, substituting the value of we get:

The quantity of soil that contains 70% clay = 5 gallons.

Therefore, 5 gallons of soil that contains 30% clay and 5 gallons of soil that contains 70% clay is combined.

what are the options? ?

step-by-step explanation:

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