Peter and Lee went shopping with a total amount of $228. They had $190 left after shopping. Peter's remaining money was 4 times the amount he paid for. Lee's remaining money was 6 times the amount he had spent.
- How much did Lee spend?
- How much did Lee bring along for shopping?
| |
Peter |
Lee |
Total |
| Before |
5 u |
7 p |
228 |
| Change |
- 1 u |
- 1 p |
- 38 |
| After |
4 u |
6 p |
190 |
(a)
Amount that Peter and Lee spent
= 228 - 190
= $38
Amount that Peter and Lee spent
= 1 u + 1 p
1 u + 1 p = 38
1 u = 38 - 1 p --- (1)
Amount that Peter and Lee had left
= 4 u + 6 p
4 u + 6 p = 190
4 u = 190 - 6 p --- (2)
Make u the same.
(1)
x 4 4 u = 152 - 4 p --- (3)
(3) = (2)
152 - 4 p = 190 - 6 p
6 p - 4 p = 190 - 152
2 p = 38
1 p = 38 ÷ 2 = 19
Amount that Lee spent = $19
(b)
Amount that Lee brought along
= 7 p
= 7 x 19
= $133
Answer(s): (a) $19; (b) $133
