Caden and Sean went shopping with a total amount of $378. They had $324 left after shopping. Caden's remaining money was 5 times the amount he paid for. Sean's remaining money was 7 times the amount he had spent.
- How much did Sean spend?
- How much did Sean bring along for shopping?
|
Caden |
Sean |
Total |
Before |
6 u |
8 p |
378 |
Change |
- 1 u |
- 1 p |
- 54 |
After |
5 u |
7 p |
324 |
(a)
Amount that Caden and Sean spent
= 378 - 324
= $54
Amount that Caden and Sean spent
= 1 u + 1 p
1 u + 1 p = 54
1 u = 54 - 1 p --- (1)
Amount that Caden and Sean had left
= 5 u + 7 p
5 u + 7 p = 324
5 u = 324 - 7 p --- (2)
Make u the same.
(1)
x 5 5 u = 270 - 5 p --- (3)
(3) = (2)
270 - 5 p = 324 - 7 p
7 p - 5 p = 324 - 270
2 p = 54
1 p = 54 ÷ 2 = 27
Amount that Sean spent = $27
(b)
Amount that Sean brought along
= 8 p
= 8 x 27
= $216
Answer(s): (a) $27; (b) $216