Simon had thrice as much money as John. After Simon had spent $84, John had five times as much money as Simon. How much more money than John had Simon at first?
| |
Simon |
John |
More |
Before
|
3x5 =
15 u |
1x5 =
5 u |
10 u |
| Change |
- $84 |
|
|
| After |
1 u |
5 u |
|
The amount that John had remains unchanged. Make the amount that John had the same. LCM of 1 and 5 is 5.
Amount that Mark had in the end = 1 u
15 u - 84 = 1 u
15 u - 1 u = 84
14 u = 84
1 u = 84 ÷ 14 = 6
Amount that John had more than Simon at first
= 15 u - 5 u
= 10 u
= 10 x 6
= $60
Answer(s): $60
