Julian and Glen went shopping with a total amount of $130. They had $110 left after shopping. Julian's remaining money was 4 times the amount he paid for. Glen's remaining money was 7 times the amount he had spent.
- How much did Glen spend?
- How much did Glen bring along for shopping?
| |
Julian |
Glen |
Total |
| Before |
5 u |
8 p |
130 |
| Change |
- 1 u |
- 1 p |
- 20 |
| After |
4 u |
7 p |
110 |
(a)
Amount that Julian and Glen spent
= 130 - 110
= $20
Amount that Julian and Glen spent
= 1 u + 1 p
1 u + 1 p = 20
1 u = 20 - 1 p --- (1)
Amount that Julian and Glen had left
= 4 u + 7 p
4 u + 7 p = 110
4 u = 110 - 7 p --- (2)
Make u the same.
(1)
x 4 4 u = 80 - 4 p --- (3)
(3) = (2)
80 - 4 p = 110 - 7 p
7 p - 4 p = 110 - 80
3 p = 30
1 p = 30 ÷ 3 = 10
Amount that Glen spent = $10
(b)
Amount that Glen brought along
= 8 p
= 8 x 10
= $80
Answer(s): (a) $10; (b) $80
