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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?

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opudodennis

Answer:

9.2 bookcases

Step-by-step 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:

[tex]X=\frac{P_t}{P_b_c}, P_t=4\frac{3}{5}, P_{bc}=\frac{1}{2}\\\\\\X=\frac{4\frac{3}{5}}{\frac{1}{2}}\\\\X=9\frac{1}{5}[/tex]

Hence, the number of bookcases repaind is 9.2