Questions and Answers

Question posted by Gazelle from Singapore:

Paul and May shared $264 equally. After Paul spent 4 times as much money as May, May had 3 times as much money left as Paul. How much money had Paul left?


Step 1: Draw 2 equal boxes.

Step 2: Mark out the part spent by May.

Step 3: Mark out the parts spent by Paul.

Step 4: Mark out the part Paul had left as 1 part versus the 3 parts May had left.

(Take note that 1 shaded part is not the same size as 1 unshaded part.)

Step 5: From the model, we see that 3 shaded parts is equal to 2 unshaded parts. We then convert all parts (both shaded and unshaded) into identical units by sub-dividing the parts (with dotted lines).

Step 6:From the model, we found that

22 units ------------> $264
1 unit ------------> $264 / 22 = $12
3 units ------------> 3 X $12 = $36

Thus, Paul had $36 left.

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.