At first, Will, Tom and Oscar had the same amount of money. After Oscar spent some of his money, Will spent
37 of his money and Tom spent
23 of his money, Will had $110 more than Tom. In the end, the total amount of money the three boys had left was $531. How much money did Oscar spend?
|
Will |
Tom |
Oscar |
Total |
Before |
7x3 = 21 u |
3x7 = 21 u |
21 u |
|
Change |
- 3x3 = - 9 u |
- 2x7 = - 14 u |
- ? |
|
After |
4x3 = 12 u |
1x7 = 7 u |
|
$531 |
The amount that Will and Tom each had at first is the same. Make the amount that they each had the same. LCM of 7 and 3 is 21.
Amount that Will had more than Tom in the end
= 12 u - 7 u
= 5 u
5 u = 110
1 u = 110 ÷ 5 = 22
Amount that Will and Tom had in the end
= 12 u + 7 u
= 19 u
= 19 x 22
= $418
Amount that Oscar had in the end
= 531 - 418
= $113
Amount that Oscar had at first
= 21 u
= 21 x 22
= $462
Amount that Oscar spent
= 462 - 113
= $349
Answer(s): $349