Perry and Xavier went shopping with a total amount of $336. They had $280 left after shopping. Perry's remaining money was 4 times the amount he paid for. Xavier's remaining money was 6 times the amount he had spent.
- How much did Xavier spend?
- How much did Xavier bring along for shopping?
|
Perry |
Xavier |
Total |
Before |
5 u |
7 p |
336 |
Change |
- 1 u |
- 1 p |
- 56 |
After |
4 u |
6 p |
280 |
(a)
Amount that Perry and Xavier spent
= 336 - 280
= $56
Amount that Perry and Xavier spent
= 1 u + 1 p
1 u + 1 p = 56
1 u = 56 - 1 p --- (1)
Amount that Perry and Xavier had left
= 4 u + 6 p
4 u + 6 p = 280
4 u = 280 - 6 p --- (2)
Make u the same.
(1)
x 4 4 u = 224 - 4 p --- (3)
(3) = (2)
224 - 4 p = 280 - 6 p
6 p - 4 p = 280 - 224
2 p = 56
1 p = 56 ÷ 2 = 28
Amount that Xavier spent = $28
(b)
Amount that Xavier brought along
= 7 p
= 7 x 28
= $196
Answer(s): (a) $28; (b) $196