Seth and Will went shopping with a total amount of $286. They had $242 left after shopping. Seth's remaining money was 4 times the amount he paid for. Will's remaining money was 7 times the amount he had spent.
- How much did Will spend?
- How much did Will bring along for shopping?
| |
Seth |
Will |
Total |
| Before |
5 u |
8 p |
286 |
| Change |
- 1 u |
- 1 p |
- 44 |
| After |
4 u |
7 p |
242 |
(a)
Amount that Seth and Will spent
= 286 - 242
= $44
Amount that Seth and Will spent
= 1 u + 1 p
1 u + 1 p = 44
1 u = 44 - 1 p --- (1)
Amount that Seth and Will had left
= 4 u + 7 p
4 u + 7 p = 242
4 u = 242 - 7 p --- (2)
Make u the same.
(1)
x 4 4 u = 176 - 4 p --- (3)
(3) = (2)
176 - 4 p = 242 - 7 p
7 p - 4 p = 242 - 176
3 p = 66
1 p = 66 ÷ 3 = 22
Amount that Will spent = $22
(b)
Amount that Will brought along
= 8 p
= 8 x 22
= $176
Answer(s): (a) $22; (b) $176
