Flynn and Luke went shopping with a total amount of $276. They had $230 left after shopping. Flynn's remaining money was 3 times the amount he paid for. Luke's remaining money was 7 times the amount he had spent.
- How much did Luke spend?
- How much did Luke bring along for shopping?
| |
Flynn |
Luke |
Total |
| Before |
4 u |
8 p |
276 |
| Change |
- 1 u |
- 1 p |
- 46 |
| After |
3 u |
7 p |
230 |
(a)
Amount that Flynn and Luke spent
= 276 - 230
= $46
Amount that Flynn and Luke spent
= 1 u + 1 p
1 u + 1 p = 46
1 u = 46 - 1 p --- (1)
Amount that Flynn and Luke had left
= 3 u + 7 p
3 u + 7 p = 230
3 u = 230 - 7 p --- (2)
Make u the same.
(1)
x 3 3 u = 138 - 3 p --- (3)
(3) = (2)
138 - 3 p = 230 - 7 p
7 p - 3 p = 230 - 138
4 p = 92
1 p = 92 ÷ 4 = 23
Amount that Luke spent = $23
(b)
Amount that Luke brought along
= 8 p
= 8 x 23
= $184
Answer(s): (a) $23; (b) $184
