George and Ken went shopping with a total amount of $363. They had $297 left after shopping. George's remaining money was 3 times the amount he paid for. Ken's remaining money was 6 times the amount he had spent.
- How much did Ken spend?
- How much did Ken bring along for shopping?
|
George |
Ken |
Total |
Before |
4 u |
7 p |
363 |
Change |
- 1 u |
- 1 p |
- 66 |
After |
3 u |
6 p |
297 |
(a)
Amount that George and Ken spent
= 363 - 297
= $66
Amount that George and Ken spent
= 1 u + 1 p
1 u + 1 p = 66
1 u = 66 - 1 p --- (1)
Amount that George and Ken had left
= 3 u + 6 p
3 u + 6 p = 297
3 u = 297 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 198 - 3 p --- (3)
(3) = (2)
198 - 3 p = 297 - 6 p
6 p - 3 p = 297 - 198
3 p = 99
1 p = 99 ÷ 3 = 33
Amount that Ken spent = $33
(b)
Amount that Ken brought along
= 7 p
= 7 x 33
= $231
Answer(s): (a) $33; (b) $231