Perry had $170 less than Sam. If Sam spends $130 and Perry's mother gave Perry $270, Sam will have
14 as much money as Perry. How much money did Perry and Sam have?
| |
Make p the same
(1)x4 = (3) |
Perry
(1) |
Sam
(2) |
| Before |
4 u |
1 u |
1 u + 170 |
| Change |
- 520 |
- 130 |
+ 270 |
| After |
4 p |
1 p |
4 p |
Since Perry had $170 less than Sam, this means Sam had $170 more than Perry.
1 u - 130 = 1 p --- (1)
1 u + 170 + 270 = 4 p
1 u + 440 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 520 =
4 p --- (3)
(3) = (2)
4 u - 520 = 1 u + 440
4 u - 1 u = 440 + 520
3 u = 960
1 u = 960 ÷ 3 = 320
Total amount that Perry and Sam had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 320 + 170
= 640 + 170
= $810
Answer(s): $810
