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.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8