Xavier had $4.20 less than Archie. After Xavier gave $1.80 to Archie, Archie would have thrice as much money as Xavier. How much money had Archie at first?
| |
Archie |
Xavier |
| Before |
3 u - $1.80 |
1 u + $1.80 |
| Change |
+ $1.80 |
- $1.80 |
| After |
3 u |
1 u |
Xavier had $4.20 less than Archie. If another $4.20 was given to Xavier, Archie and Xavier would have the same amount at first.
3 u - 1.80 = 1 u + 1.80 + 4.20
3 u - 1 u = 1.80 + 4.20 + 1.80
2 u = 7.80
1 u = 7.80 ÷ 2 = 3.90
Amount that Archie had at first
= 3 u - 1.80
= 3 x 3.90 + 1.80
= 11.70 + 1.80
= $13.50
Answer(s): $13.50
