Owen, Harry and Oscar shared $165. During a shopping trip, Owen spent
27 of his share, Harry spent
35 of his share and Oscar spent
14 of his share. Given that all three boys each spent the same amount of money, how much more money do Owen and Harry have than Oscar in the end?
|
Owen |
Harry |
Oscar |
Total |
Before |
7x3 = 21 u |
5x2 = 10 u |
4x6 = 24 u |
$165 |
Change |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
- 1x6 = - 6 u |
|
After |
5x3 = 15 u |
2x2 = 4 u |
3x6 = 18 u |
|
The amounts that Owen, Harry and Oscar spent is the same. Make the amounts that each boy spent the same. LCM of 2, 3 and 1 is 6.
Amounts that the 3 boys had at first
= 21 u + 10 u + 24 u
= 55 u
55 u = 165
1 u = 165 ÷ 55 = 3
Amount that Owen and Harry have in the end
= 15 u + 4 u
= 19 u
Amount that Owen and Harry have more than Oscar in the end
= 19 u - 18 u
= 1 u
= 1 x 3
= $3
Answer(s): $3