Elijah had six times as much money as Peter. After Elijah had spent $77, Peter had twice as much money as Elijah. How much more money than Peter had Elijah at first?
| |
Elijah |
Peter |
More |
Before
|
6x2 =
12 u |
1x2 =
2 u |
10 u |
| Change |
- $77 |
|
|
| After |
1 u |
2 u |
|
The amount that Peter had remains unchanged. Make the amount that Peter had the same. LCM of 1 and 2 is 2.
Amount that Mark had in the end = 1 u
12 u - 77 = 1 u
12 u - 1 u = 77
11 u = 77
1 u = 77 ÷ 11 = 7
Amount that Peter had more than Elijah at first
= 12 u - 2 u
= 10 u
= 10 x 7
= $70
Answer(s): $70
