Peter had $110 less than Reggie. If Reggie spends $100 and Peter's mother gave Peter $390, Reggie will have
14 as much money as Peter. How much money did Peter and Reggie have?
| |
Make p the same
(1)x4 = (3) |
Peter
(1) |
Reggie
(2) |
| Before |
4 u |
1 u |
1 u + 110 |
| Change |
- 400 |
- 100 |
+ 390 |
| After |
4 p |
1 p |
4 p |
Since Peter had $110 less than Reggie, this means Reggie had $110 more than Peter.
1 u - 100 = 1 p --- (1)
1 u + 110 + 390 = 4 p
1 u + 500 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 400 =
4 p --- (3)
(3) = (2)
4 u - 400 = 1 u + 500
4 u - 1 u = 500 + 400
3 u = 900
1 u = 900 ÷ 3 = 300
Total amount that Peter and Reggie had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 300 + 110
= 600 + 110
= $710
Answer(s): $710
