Tim had $170 less than Sean. If Sean spends $140 and Tim's mother gave Tim $50, Sean will have
14 as much money as Tim. How much money did Tim and Sean have?
| |
Make p the same
(1)x4 = (3) |
Tim
(1) |
Sean
(2) |
| Before |
4 u |
1 u |
1 u + 170 |
| Change |
- 560 |
- 140 |
+ 50 |
| After |
4 p |
1 p |
4 p |
Since Tim had $170 less than Sean, this means Sean had $170 more than Tim.
1 u - 140 = 1 p --- (1)
1 u + 170 + 50 = 4 p
1 u + 220 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 560 =
4 p --- (3)
(3) = (2)
4 u - 560 = 1 u + 220
4 u - 1 u = 220 + 560
3 u = 780
1 u = 780 ÷ 3 = 260
Total amount that Tim and Sean had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 260 + 170
= 520 + 170
= $690
Answer(s): $690
