Lee and Tom went shopping with a total amount of $276. They had $230 left after shopping. Lee's remaining money was 4 times the amount he paid for. Tom's remaining money was 6 times the amount he had spent.
- How much did Tom spend?
- How much did Tom bring along for shopping?
| |
Lee |
Tom |
Total |
| Before |
5 u |
7 p |
276 |
| Change |
- 1 u |
- 1 p |
- 46 |
| After |
4 u |
6 p |
230 |
(a)
Amount that Lee and Tom spent
= 276 - 230
= $46
Amount that Lee and Tom spent
= 1 u + 1 p
1 u + 1 p = 46
1 u = 46 - 1 p --- (1)
Amount that Lee and Tom had left
= 4 u + 6 p
4 u + 6 p = 230
4 u = 230 - 6 p --- (2)
Make u the same.
(1)
x 4 4 u = 184 - 4 p --- (3)
(3) = (2)
184 - 4 p = 230 - 6 p
6 p - 4 p = 230 - 184
2 p = 46
1 p = 46 ÷ 2 = 23
Amount that Tom spent = $23
(b)
Amount that Tom brought along
= 7 p
= 7 x 23
= $161
Answer(s): (a) $23; (b) $161
