Kylie plans to repaint some classroom bookcases. She has 2/frac{3}{4}

4

3

gallons of paint. All of the bookcases are the same size and each requires / frac{2}{3}

3

2

gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

Question

Cory Cooper

Mathematics

4 March, 11:28

Kylie plans to repaint some classroom bookcases. She has 2/frac{3}{4}

4

3

gallons of paint. All of the bookcases are the same size and each requires / frac{2}{3}

3

2

gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

+4

Answers (1)

Know the Answer?

Alexia Goodman · Answer 1

4

Step-by-step explanation:

If n is the number of bookcases to be painted, the number of gallons of paint required is ...

(2/3) n

We want that value not to exceed 2 3/4 gallons, so we have ...

(2/3) n ≤ 2 3/4

n ≤ (3/2) (2 3/4) = (3/2) (2) + (3/2) (3/4)

n ≤ 3 + 9/8 = 4 1/8

The largest integer less than 4 1/8 is 4. Kylie can paint 4 bookcases with the available paint.

Kylie plans to repaint some classroom bookcases. She has 2/frac{3}{4}43 gallons of paint. All of the bookcases are the same size and each requires / frac{2}{3}32 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

Kylie plans to repaint some classroom bookcases. She has 2/frac{3}{4}

4

3

gallons of paint. All of the bookcases are the same size and each requires / frac{2}{3}

3

2

gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?