At first, Wesley, Ken and Oscar had the same amount of money. After Oscar spent some of his money, Wesley spent
27 of his money and Ken spent
12 of his money, Wesley had $90 more than Ken. In the end, the total amount of money the three boys had left was $653. How much money did Oscar spend?
|
Wesley |
Ken |
Oscar |
Total |
Before |
7x2 = 14 u |
2x7 = 14 u |
14 u |
|
Change |
- 2x2 = - 4 u |
- 1x7 = - 7 u |
- ? |
|
After |
5x2 = 10 u |
1x7 = 7 u |
|
$653 |
The amount that Wesley and Ken each had at first is the same. Make the amount that they each had the same. LCM of 7 and 2 is 14.
Amount that Wesley had more than Ken in the end
= 10 u - 7 u
= 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Amount that Wesley and Ken had in the end
= 10 u + 7 u
= 17 u
= 17 x 30
= $510
Amount that Oscar had in the end
= 653 - 510
= $143
Amount that Oscar had at first
= 14 u
= 14 x 30
= $420
Amount that Oscar spent
= 420 - 143
= $277
Answer(s): $277