Jenson, Reggie and Cody shared $780. During a shopping trip, Jenson spent
29 of his share, Reggie spent
37 of his share and Cody spent
14 of his share. Given that all three boys each spent the same amount of money, how much more money do Jenson and Reggie have than Cody in the end?
|
Jenson |
Reggie |
Cody |
Total |
Before |
9x3 = 27 u |
7x2 = 14 u |
4x6 = 24 u |
$780 |
Change |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
- 1x6 = - 6 u |
|
After |
7x3 = 21 u |
4x2 = 8 u |
3x6 = 18 u |
|
The amounts that Jenson, Reggie and Cody 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
= 27 u + 14 u + 24 u
= 65 u
65 u = 780
1 u = 780 ÷ 65 = 12
Amount that Jenson and Reggie have in the end
= 21 u + 8 u
= 29 u
Amount that Jenson and Reggie have more than Cody in the end
= 29 u - 18 u
= 11 u
= 11 x 12
= $132
Answer(s): $132