Archie and Glen went shopping with a total amount of $468. They had $396 left after shopping. Archie'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?
| |
Archie |
Glen |
Total |
| Before |
5 u |
8 p |
468 |
| Change |
- 1 u |
- 1 p |
- 72 |
| After |
4 u |
7 p |
396 |
(a)
Amount that Archie and Glen spent
= 468 - 396
= $72
Amount that Archie and Glen spent
= 1 u + 1 p
1 u + 1 p = 72
1 u = 72 - 1 p --- (1)
Amount that Archie and Glen had left
= 4 u + 7 p
4 u + 7 p = 396
4 u = 396 - 7 p --- (2)
Make u the same.
(1)
x 4 4 u = 288 - 4 p --- (3)
(3) = (2)
288 - 4 p = 396 - 7 p
7 p - 4 p = 396 - 288
3 p = 108
1 p = 108 ÷ 3 = 36
Amount that Glen spent = $36
(b)
Amount that Glen brought along
= 8 p
= 8 x 36
= $288
Answer(s): (a) $36; (b) $288
