Jeremy, Ethan and Henry shared $605. During a shopping trip, Jeremy spent
38 of his share, Ethan spent
25 of his share and Henry spent
14 of his share. Given that all three boys each spent the same amount of money, how much more money do Jeremy and Ethan have than Henry in the end?
|
Jeremy |
Ethan |
Henry |
Total |
Before |
8x2 = 16 u |
5x3 = 15 u |
4x6 = 24 u |
$605 |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 1x6 = - 6 u |
|
After |
5x2 = 10 u |
3x3 = 9 u |
3x6 = 18 u |
|
The amounts that Jeremy, Ethan and Henry 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 + 15 u + 24 u
= 55 u
55 u = 605
1 u = 605 ÷ 55 = 11
Amount that Jeremy and Ethan have in the end
= 10 u + 9 u
= 19 u
Amount that Jeremy and Ethan have more than Henry in the end
= 19 u - 18 u
= 1 u
= 1 x 11
= $11
Answer(s): $11