SOLUTION: A mixture of sand and gravel are in two piles. Ratio of sand to gravel is 1:3 in first pile, and 3:5 in second. 24 cu. yds. from first are mixed with 40 cu. yds. from second. De

Question 1203899: A mixture of sand and gravel are in two piles. Ratio of sand to gravel is 1:3 in first pile, and 3:5 in second. 24 cu. yds. from first are mixed with 40 cu. yds. from second. Determine cu. yds. of sand in resulting mixture.
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Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

The ratio of sand to gravel in the first pile is 1:3, which means 1/4 is sand and 3/4 is gravel. 24 cubic feet are taken from this pile; the amount of sand in those 24 cubic feet is 1/4 of 24 cubic feet, which is 6 cubic feet.

The ratio of sand to gravel in the second pile is 3:5, which means 3/8 is sand and 5/8 is gravel. 40 cubic feet are taken from this pile; the amount of sand in those 40 cubic feet is 3/8 of 40 cubic feet, which is 15 cubic feet.

ANSWER: The amount of sand in the mixture is 6+15 = 21 cubic feet.

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
The question is for the sand in the mixture.

First Pile
sand

Second Pile
sand

Making the mixture: 24 yd^3 first and 40 yd^3 second

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