Lesson Word problems on mixtures for dry substances like soil and sand

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Word problems on mixtures for dry substances like soil and sand

Problem 1

Two cubic meters of soil containing 35% sand were mixed with six cubic meters of soil containing 15% sand.
What is the sand content of the mixture?

Solution

Percentage of sand in this problem is based on volumetric content of sand in the soil.

There are 2 * 0.35 = 0.7 m%5E3

of sand in 2 m%5E3

of soil containing 35% sand.
There are 6 * 0.15 = 0.9 m%5E3

of sand in 6 m%5E3

of soil containing 15% sand.

So we have 8 m%5E3

of soil containing 1.6 m%5E3

of sand.

Thus volumetric content of sand in the mixture is 1.6%2F8

* 100 = 20%.

Answer. Volumetric content of sand in the mixture is 20%.

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