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.
LEARN ABOUT IT Some problems cannot be solved directly. You need to use a strategy called Guess and Check. Prince Carl divided 15 stone games into two piles: games he owns and games his brother owns. He owns 3 more games than his brother. How many games does his brother own?
I'll guess his brother owns 8 games.
That means Prince Carl owns 11 games. That's a total of 19 games.
My guess is too high.
I'll guess again. This time I'll guess his brother owns 6 games.
That means Prince Carl owns 9 games. That's a total of 15 games.
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.
LEARN ABOUT IT
Some problems cannot be solved directly. You need to use a strategy called Guess and Check.
Prince Carl divided 15 stone games into two piles: games he owns and games his brother owns. He owns 3 more games than his brother. How many games does his brother own?