Soil that contains 30% clay is added to soil that

Ответ:

1846252

20.01.2022

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 10-x.

Now, to get the quantity of soils:

$30\%\ of\ x+70\%\ of\ (10-x)=50\%\ of\ 10$

$\frac{30}{100} \times x+\frac{70}{100} \times (10-x)=\frac{50}{100} \times 10$

0.30x+0.70(10-x)=5

0.30x+7-0.7x=5

7-0.4x=5

Subtracting both sides by 7 we get:

-0.4x=-2

Dividing both sides by -0.4 we get:

x=5.

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

Now, substituting the value of we get:

$10-x\\\\=10-5\\\\=5.$

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.

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