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Brandon decided to paint some of the rooms at his 2424-room inn, Brandon's Place. He discovered he needed \frac{3}{5} ​5 ​ ​3 ​​ of a can of paint per room. If Brandon had 33 cans of paint, how many rooms could he paint?

 Apr 17, 2015

Best Answer 

 #1
avatar+980 
+5

I can only make some sense of your question. I'm assuming he can paint a room with 3 fiths of a can of paint.

P=paint cans, r=rooms

$$\frac{3}{5}p:1r$$  Now we need to make p=1. We can do this by dividing both sides by 3/5.

(Note that $$\frac{3}{5}p:1r$$ can also be written as $$3p:5r$$)

$$1p:1\frac{2}{3}r$$ So if we have 33 paint cans (multiply both sides by 33), he can paint. . .

$$33p:55r$$

55 rooms.

 Apr 18, 2015
 #1
avatar+980 
+5
Best Answer

I can only make some sense of your question. I'm assuming he can paint a room with 3 fiths of a can of paint.

P=paint cans, r=rooms

$$\frac{3}{5}p:1r$$  Now we need to make p=1. We can do this by dividing both sides by 3/5.

(Note that $$\frac{3}{5}p:1r$$ can also be written as $$3p:5r$$)

$$1p:1\frac{2}{3}r$$ So if we have 33 paint cans (multiply both sides by 33), he can paint. . .

$$33p:55r$$

55 rooms.

zacismyname Apr 18, 2015

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