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A paint crew gets a rush order to paint \(80\) houses in a new development. They paint the first \(y\) houses at a rate

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by Vincen » Wed Jul 21, 2021 12:40 pm

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A paint crew gets a rush order to paint \(80\) houses in a new development. They paint the first \(y\) houses at a rate of \(x\) houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of \(1.25x\) houses per week. The total time it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of \(x\) houses per week?

(A) \(0.8(80 - y)\)

(B) \(0.8 + 0.0025y\)

(C) \(\dfrac{80}{y} - 1.25\)

(D) \(\dfrac{80}{1.25y}\)

(E) \(80 - 0.25y\)

Answer: B

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