Archie had $2.90 less than Ethan. After Archie gave $2.60 to Ethan, Ethan would have four times as much money as Archie. How much money had Ethan at first?
| |
Ethan |
Archie |
| Before |
4 u - $2.60 |
1 u + $2.60 |
| Change |
+ $2.60 |
- $2.60 |
| After |
4 u |
1 u |
Archie had $2.90 less than Ethan. If another $2.90 was given to Archie, Ethan and Archie would have the same amount at first.
4 u - 2.60 = 1 u + 2.60 + 2.90
4 u - 1 u = 2.60 + 2.90 + 2.60
3 u = 8.10
1 u = 8.10 ÷ 3 = 2.70
Amount that Ethan had at first
= 4 u - 2.60
= 4 x 2.70 + 2.60
= 10.80 + 2.60
= $13.40
Answer(s): $13.40
