Harry and Ryan went shopping with a total amount of $507. They had $429 left after shopping. Harry's remaining money was 4 times the amount he paid for. Ryan's remaining money was 7 times the amount he had spent.
- How much did Ryan spend?
- How much did Ryan bring along for shopping?
| |
Harry |
Ryan |
Total |
| Before |
5 u |
8 p |
507 |
| Change |
- 1 u |
- 1 p |
- 78 |
| After |
4 u |
7 p |
429 |
(a)
Amount that Harry and Ryan spent
= 507 - 429
= $78
Amount that Harry and Ryan spent
= 1 u + 1 p
1 u + 1 p = 78
1 u = 78 - 1 p --- (1)
Amount that Harry and Ryan had left
= 4 u + 7 p
4 u + 7 p = 429
4 u = 429 - 7 p --- (2)
Make u the same.
(1)
x 4 4 u = 312 - 4 p --- (3)
(3) = (2)
312 - 4 p = 429 - 7 p
7 p - 4 p = 429 - 312
3 p = 117
1 p = 117 ÷ 3 = 39
Amount that Ryan spent = $39
(b)
Amount that Ryan brought along
= 8 p
= 8 x 39
= $312
Answer(s): (a) $39; (b) $312
