Ian and Lee went shopping with a total amount of $176. They had $144 left after shopping. Ian's remaining money was 3 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?
| |
Ian |
Lee |
Total |
| Before |
4 u |
7 p |
176 |
| Change |
- 1 u |
- 1 p |
- 32 |
| After |
3 u |
6 p |
144 |
(a)
Amount that Ian and Lee spent
= 176 - 144
= $32
Amount that Ian and Lee spent
= 1 u + 1 p
1 u + 1 p = 32
1 u = 32 - 1 p --- (1)
Amount that Ian and Lee had left
= 3 u + 6 p
3 u + 6 p = 144
3 u = 144 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 96 - 3 p --- (3)
(3) = (2)
96 - 3 p = 144 - 6 p
6 p - 3 p = 144 - 96
3 p = 48
1 p = 48 ÷ 3 = 16
Amount that Lee spent = $16
(b)
Amount that Lee brought along
= 7 p
= 7 x 16
= $112
Answer(s): (a) $16; (b) $112
