Ian and Xavier went shopping with a total amount of $372. They had $310 left after shopping. Ian's remaining money was 3 times the amount he paid for. Xavier's remaining money was 7 times the amount he had spent.
- How much did Xavier spend?
- How much did Xavier bring along for shopping?
|
Ian |
Xavier |
Total |
Before |
4 u |
8 p |
372 |
Change |
- 1 u |
- 1 p |
- 62 |
After |
3 u |
7 p |
310 |
(a)
Amount that Ian and Xavier spent
= 372 - 310
= $62
Amount that Ian and Xavier spent
= 1 u + 1 p
1 u + 1 p = 62
1 u = 62 - 1 p --- (1)
Amount that Ian and Xavier had left
= 3 u + 7 p
3 u + 7 p = 310
3 u = 310 - 7 p --- (2)
Make u the same.
(1)
x 3 3 u = 186 - 3 p --- (3)
(3) = (2)
186 - 3 p = 310 - 7 p
7 p - 3 p = 310 - 186
4 p = 124
1 p = 124 ÷ 4 = 31
Amount that Xavier spent = $31
(b)
Amount that Xavier brought along
= 8 p
= 8 x 31
= $248
Answer(s): (a) $31; (b) $248