Constant Ratios

Question

Rita made $228

 for 12

 hours of work.

At the same rate, how much would she make for 9

 hours of work?

Answer 1

9 is 3/4 of 12, so multiply 228 by 3/4 (or 0.75 if you are into decimals).

Answer 2

Hi Lucian! We can set up a ratio for this. You can put your hours on the left side of the equals sign, and the money earned on the right.

9/12 = x/228

The fastest way to solve this is by multiplying both sides by 228. Doing that leaves you with x by itself on the right side.

228 * (9/12) = x

Now we multiply 228 * 9 and get 2052.

2052/12 = x

Now we divide 2052 by 12.

171 = x

Hope this helps!