Question: Amy and Judy sold 12 show tickets altogether. Amy sold 2 more tickets than Judy. How many tickets did each girl sell?

Strategy:

1) UNDERSTAND:

What do you need to find?

You need to know that 12 tickets were sold in all. You also need to know that Amy sold 2 more tickets than Judy.

2) PLAN:

How can you solve the problem?

You can guess and check to find two numbers with a sum of 12 and a difference of 2. If your first guess does not work, try two different numbers.

3) SOLVE:

First Guess:
Amy = 8 tickets
Judy = 4 tickets

Check
8 + 4 = 12
8 - 4 = 4 ( Amy sold 4 more tickets)
These numbers do not work!

Second Guess:
Amy = 7 tickets
Judy = 5 tickets

Check
7 + 5 = 12
7- 5 = 2 ( Amy sold 2 more tickets)
These numbers do work!

Amy sold 7 tickets and Judy sold 5 tickets.