Glen had $150 less than Reggie. If Reggie spends $80 and Glen's mother gave Glen $330, Reggie will have
13 as much money as Glen. How much money did Glen and Reggie have?
| |
Make p the same
(1)x3 = (3) |
Glen
(1) |
Reggie
(2) |
| Before |
3 u |
1 u |
1 u + 150 |
| Change |
- 240 |
- 80 |
+ 330 |
| After |
3 p |
1 p |
3 p |
Since Glen had $150 less than Reggie, this means Reggie had $150 more than Glen.
1 u - 80 = 1 p --- (1)
1 u + 150 + 330 = 3 p
1 u + 480 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 240 =
3 p --- (3)
(3) = (2)
3 u - 240 = 1 u + 480
3 u - 1 u = 480 + 240
2 u = 720
1 u = 720 ÷ 2 = 360
Total amount that Glen and Reggie had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 360 + 150
= 720 + 150
= $870
Answer(s): $870
