Dylan, Wesley and Harry shared $122. During a shopping trip, Dylan spent
38 of his share, Wesley spent
27 of his share and Harry spent
14 of his share. Given that all three boys each spent the same amount of money, how much more money do Dylan and Wesley have than Harry in the end?
|
Dylan |
Wesley |
Harry |
Total |
Before |
8x2 = 16 u |
7x3 = 21 u |
4x6 = 24 u |
$122 |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 1x6 = - 6 u |
|
After |
5x2 = 10 u |
5x3 = 15 u |
3x6 = 18 u |
|
The amounts that Dylan, Wesley and Harry spent is the same. Make the amounts that each boy spent the same. LCM of 3, 2 and 1 is 6.
Amounts that the 3 boys had at first
= 16 u + 21 u + 24 u
= 61 u
61 u = 122
1 u = 122 ÷ 61 = 2
Amount that Dylan and Wesley have in the end
= 10 u + 15 u
= 25 u
Amount that Dylan and Wesley have more than Harry in the end
= 25 u - 18 u
= 7 u
= 7 x 2
= $14
Answer(s): $14