Perry had $100 less than George. If George spends $170 and Perry's mother gave Perry $810, George will have
15 as much money as Perry. How much money did Perry and George have?
| |
Make p the same
(1)x5 = (3) |
Perry
(1) |
George
(2) |
| Before |
5 u |
1 u |
1 u + 100 |
| Change |
- 850 |
- 170 |
+ 810 |
| After |
5 p |
1 p |
5 p |
Since Perry had $100 less than George, this means George had $100 more than Perry.
1 u - 170 = 1 p --- (1)
1 u + 100 + 810 = 5 p
1 u + 910 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 850 =
5 p --- (3)
(3) = (2)
5 u - 850 = 1 u + 910
5 u - 1 u = 910 + 850
4 u = 1760
1 u = 1760 ÷ 4 = 440
Total amount that Perry and George had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 440 + 100
= 880 + 100
= $980
Answer(s): $980
