SOLUTION: a given type of concrete contains twice as much sand as cement and 1.5 times as much gravel as sand.how many cubic yards of each must be used to make 9 yd3 of concrete? assume no

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Question 723060: a given type of concrete contains twice as much sand as cement and 1.5
times as much gravel as sand.how many cubic yards of each must be used to make 9 yd3 of concrete? assume no loss of volume in mixing.

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
x = amount sand
y = amount cement
z = amount gravel
x/y=2. This means x=2y. Also, means y/x=1/2, so y=x%2F2.
z/x=1.5. This means z=1.5x.

Want 9 yd^3 of concrete.
x%2By%2Bz=9.
Using the above substitutions allows to express everything in terms of just x.
x%2B%28x%2F2%29%2B%28%283%2F2%29x%29=9
%281%2B1%2F2%2B3%2F2%29x=9
...continue from here to solve and finish for x, y, and z.