At first, Tom, Tim and George had the same amount of money. After George spent some of his money, Tom spent
37 of his money and Tim spent
35 of his money, Tom had $66 more than Tim. In the end, the total amount of money the three boys had left was $484. How much money did George spend?
|
Tom |
Tim |
George |
Total |
Before |
7x5 = 35 u |
5x7 = 35 u |
35 u |
|
Change |
- 3x5 = - 15 u |
- 3x7 = - 21 u |
- ? |
|
After |
4x5 = 20 u |
2x7 = 14 u |
|
$484 |
The amount that Tom and Tim each had at first is the same. Make the amount that they each had the same. LCM of 7 and 5 is 35.
Amount that Tom had more than Tim in the end
= 20 u - 14 u
= 6 u
6 u = 66
1 u = 66 ÷ 6 = 11
Amount that Tom and Tim had in the end
= 20 u + 14 u
= 34 u
= 34 x 11
= $374
Amount that George had in the end
= 484 - 374
= $110
Amount that George had at first
= 35 u
= 35 x 11
= $385
Amount that George spent
= 385 - 110
= $275
Answer(s): $275