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London planes to repaint some classroom bookcases. She has 4 3/5 gallons of paint. All of the bookcases are the same the same and each requires 1/2 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

1 Answer

4 votes

Answer:

9.2 bookcases

Explanation:

Let X be the number of bookcases repainted.

-Given the available paint is 4 3/5 gallons and that each bookcase consume 1/2 gallon, we equate and solve for X:


X=(P_t)/(P_b_c), P_t=4(3)/(5), P_(bc)=(1)/(2)\\\\\\X=(4(3)/(5))/((1)/(2))\\\\X=9(1)/(5)

Hence, the number of bookcases repaind is 9.2

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