Fabian and Flynn went shopping with a total amount of $200. They had $160 left after shopping. Fabian's remaining money was 3 times the amount he paid for. Flynn's remaining money was 5 times the amount he had spent.
- How much did Flynn spend?
- How much did Flynn bring along for shopping?
|
Fabian |
Flynn |
Total |
Before |
4 u |
6 p |
200 |
Change |
- 1 u |
- 1 p |
- 40 |
After |
3 u |
5 p |
160 |
(a)
Amount that Fabian and Flynn spent
= 200 - 160
= $40
Amount that Fabian and Flynn spent
= 1 u + 1 p
1 u + 1 p = 40
1 u = 40 - 1 p --- (1)
Amount that Fabian and Flynn had left
= 3 u + 5 p
3 u + 5 p = 160
3 u = 160 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 120 - 3 p --- (3)
(3) = (2)
120 - 3 p = 160 - 5 p
5 p - 3 p = 160 - 120
2 p = 40
1 p = 40 ÷ 2 = 20
Amount that Flynn spent = $20
(b)
Amount that Flynn brought along
= 6 p
= 6 x 20
= $120
Answer(s): (a) $20; (b) $120