Caden had eight times as much money as Jack. After Caden had spent $117, Jack had five times as much money as Caden. How much more money than Jack had Caden at first?
| |
Caden |
Jack |
More |
Before
|
8x5 =
40 u |
1x5 =
5 u |
35 u |
| Change |
- $117 |
|
|
| After |
1 u |
5 u |
|
The amount that Jack had remains unchanged. Make the amount that Jack had the same. LCM of 1 and 5 is 5.
Amount that Mark had in the end = 1 u
40 u - 117 = 1 u
40 u - 1 u = 117
39 u = 117
1 u = 117 ÷ 39 = 3
Amount that Jack had more than Caden at first
= 40 u - 5 u
= 35 u
= 35 x 3
= $105
Answer(s): $105
