Ian and Sam went shopping with a total amount of $396. They had $330 left after shopping. Ian's remaining money was 4 times the amount he paid for. Sam's remaining money was 6 times the amount he had spent.
- How much did Sam spend?
- How much did Sam bring along for shopping?
|
Ian |
Sam |
Total |
Before |
5 u |
7 p |
396 |
Change |
- 1 u |
- 1 p |
- 66 |
After |
4 u |
6 p |
330 |
(a)
Amount that Ian and Sam spent
= 396 - 330
= $66
Amount that Ian and Sam spent
= 1 u + 1 p
1 u + 1 p = 66
1 u = 66 - 1 p --- (1)
Amount that Ian and Sam had left
= 4 u + 6 p
4 u + 6 p = 330
4 u = 330 - 6 p --- (2)
Make u the same.
(1)
x 4 4 u = 264 - 4 p --- (3)
(3) = (2)
264 - 4 p = 330 - 6 p
6 p - 4 p = 330 - 264
2 p = 66
1 p = 66 ÷ 2 = 33
Amount that Sam spent = $33
(b)
Amount that Sam brought along
= 7 p
= 7 x 33
= $231
Answer(s): (a) $33; (b) $231