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The manager of a garden shop mixes grass seed that is 60% rye grass with 70 lb of grass seed that is 80% rye grass to make a mixture that is 74% rye grass. How much of the 60% rye grass is used?

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Answer:

Let r be the amount of 60% rye grass.

.60r + .80(70) = .74(r + 70)

.60r + 56 = .74r + 51.8

.14r = 4.2

r = 30 lb

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