Perry had $190 less than Archie. If Archie spends $100 and Perry's mother gave Perry $490, Archie will have
14 as much money as Perry. How much money did Perry and Archie have?
| |
Make p the same
(1)x4 = (3) |
Perry
(1) |
Archie
(2) |
| Before |
4 u |
1 u |
1 u + 190 |
| Change |
- 400 |
- 100 |
+ 490 |
| After |
4 p |
1 p |
4 p |
Since Perry had $190 less than Archie, this means Archie had $190 more than Perry.
1 u - 100 = 1 p --- (1)
1 u + 190 + 490 = 4 p
1 u + 680 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 400 =
4 p --- (3)
(3) = (2)
4 u - 400 = 1 u + 680
4 u - 1 u = 680 + 400
3 u = 1080
1 u = 1080 ÷ 3 = 360
Total amount that Perry and Archie had
= 1 u + 1 u + 190
= 2 u + 190
= 2 x 360 + 190
= 720 + 190
= $910
Answer(s): $910
