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A mixture of concrete is made up of sand and cement in a ratio of 5:3. How many cubic feet of each are needed to make 160 cubic feet of concrete mix?

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We need 100 cubic feet of sand and 60 cubic feet of cement to make 160 cubic feet of concrete mix

Solution:

Given that, mixture of concrete is made up of sand and cement in a ratio of 5 : 3

To find: Cubic feet of sand and cement needed for 160 cubic feet of concrete mix

From given statement,

Sand : cement = 5 : 3

Let the sand needed be 5x

Let the cement needed be 3x

We need 160 cubic feet of concrete mix

Therefore,

sand needed + cement needed = 160

5x + 3x = 160

8x = 160

x = 20

Thus, sand needed = 5x = 5(20) = 100

cement needed = 3x = 3920) = 60

Thus we need 100 cubic feet of sand and 60 cubic feet of cement

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