Flynn and Fred went shopping with a total amount of $380. They had $304 left after shopping. Flynn's remaining money was 3 times the amount he paid for. Fred's remaining money was 5 times the amount he had spent.
- How much did Fred spend?
- How much did Fred bring along for shopping?
| |
Flynn |
Fred |
Total |
| Before |
4 u |
6 p |
380 |
| Change |
- 1 u |
- 1 p |
- 76 |
| After |
3 u |
5 p |
304 |
(a)
Amount that Flynn and Fred spent
= 380 - 304
= $76
Amount that Flynn and Fred spent
= 1 u + 1 p
1 u + 1 p = 76
1 u = 76 - 1 p --- (1)
Amount that Flynn and Fred had left
= 3 u + 5 p
3 u + 5 p = 304
3 u = 304 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 228 - 3 p --- (3)
(3) = (2)
228 - 3 p = 304 - 5 p
5 p - 3 p = 304 - 228
2 p = 76
1 p = 76 ÷ 2 = 38
Amount that Fred spent = $38
(b)
Amount that Fred brought along
= 6 p
= 6 x 38
= $228
Answer(s): (a) $38; (b) $228
