Caden, Bryan and Julian shared $183. During a shopping trip, Caden spent
38 of his share, Bryan spent
27 of his share and Julian spent
14 of his share. Given that all three boys each spent the same amount of money, how much more money do Caden and Bryan have than Julian in the end?
|
Caden |
Bryan |
Julian |
Total |
Before |
8x2 = 16 u |
7x3 = 21 u |
4x6 = 24 u |
$183 |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 1x6 = - 6 u |
|
After |
5x2 = 10 u |
5x3 = 15 u |
3x6 = 18 u |
|
The amounts that Caden, Bryan and Julian 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 = 183
1 u = 183 ÷ 61 = 3
Amount that Caden and Bryan have in the end
= 10 u + 15 u
= 25 u
Amount that Caden and Bryan have more than Julian in the end
= 25 u - 18 u
= 7 u
= 7 x 3
= $21
Answer(s): $21