Henry and Simon went shopping with a total amount of $560. They had $480 left after shopping. Henry's remaining money was 5 times the amount he paid for. Simon's remaining money was 7 times the amount he had spent.
- How much did Simon spend?
- How much did Simon bring along for shopping?
| |
Henry |
Simon |
Total |
| Before |
6 u |
8 p |
560 |
| Change |
- 1 u |
- 1 p |
- 80 |
| After |
5 u |
7 p |
480 |
(a)
Amount that Henry and Simon spent
= 560 - 480
= $80
Amount that Henry and Simon spent
= 1 u + 1 p
1 u + 1 p = 80
1 u = 80 - 1 p --- (1)
Amount that Henry and Simon had left
= 5 u + 7 p
5 u + 7 p = 480
5 u = 480 - 7 p --- (2)
Make u the same.
(1)
x 5 5 u = 400 - 5 p --- (3)
(3) = (2)
400 - 5 p = 480 - 7 p
7 p - 5 p = 480 - 400
2 p = 80
1 p = 80 ÷ 2 = 40
Amount that Simon spent = $40
(b)
Amount that Simon brought along
= 8 p
= 8 x 40
= $320
Answer(s): (a) $40; (b) $320
