Wesley had $100 less than Perry. If Perry spends $150 and Wesley's mother gave Wesley $260, Perry will have
14 as much money as Wesley. How much money did Wesley and Perry have?
| |
Make p the same
(1)x4 = (3) |
Wesley
(1) |
Perry
(2) |
| Before |
4 u |
1 u |
1 u + 100 |
| Change |
- 600 |
- 150 |
+ 260 |
| After |
4 p |
1 p |
4 p |
Since Wesley had $100 less than Perry, this means Perry had $100 more than Wesley.
1 u - 150 = 1 p --- (1)
1 u + 100 + 260 = 4 p
1 u + 360 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 600 =
4 p --- (3)
(3) = (2)
4 u - 600 = 1 u + 360
4 u - 1 u = 360 + 600
3 u = 960
1 u = 960 ÷ 3 = 320
Total amount that Wesley and Perry had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 320 + 100
= 640 + 100
= $740
Answer(s): $740
