Xavier and Jeremy went shopping with a total amount of $429. They had $351 left after shopping. Xavier's remaining money was 3 times the amount he paid for. Jeremy's remaining money was 6 times the amount he had spent.
- How much did Jeremy spend?
- How much did Jeremy bring along for shopping?
|
Xavier |
Jeremy |
Total |
Before |
4 u |
7 p |
429 |
Change |
- 1 u |
- 1 p |
- 78 |
After |
3 u |
6 p |
351 |
(a)
Amount that Xavier and Jeremy spent
= 429 - 351
= $78
Amount that Xavier and Jeremy spent
= 1 u + 1 p
1 u + 1 p = 78
1 u = 78 - 1 p --- (1)
Amount that Xavier and Jeremy had left
= 3 u + 6 p
3 u + 6 p = 351
3 u = 351 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 234 - 3 p --- (3)
(3) = (2)
234 - 3 p = 351 - 6 p
6 p - 3 p = 351 - 234
3 p = 117
1 p = 117 ÷ 3 = 39
Amount that Jeremy spent = $39
(b)
Amount that Jeremy brought along
= 7 p
= 7 x 39
= $273
Answer(s): (a) $39; (b) $273