Archie and Ben went shopping with a total amount of $297. They had $243 left after shopping. Archie's remaining money was 3 times the amount he paid for. Ben's remaining money was 6 times the amount he had spent.
- How much did Ben spend?
- How much did Ben bring along for shopping?
| |
Archie |
Ben |
Total |
| Before |
4 u |
7 p |
297 |
| Change |
- 1 u |
- 1 p |
- 54 |
| After |
3 u |
6 p |
243 |
(a)
Amount that Archie and Ben spent
= 297 - 243
= $54
Amount that Archie and Ben spent
= 1 u + 1 p
1 u + 1 p = 54
1 u = 54 - 1 p --- (1)
Amount that Archie and Ben had left
= 3 u + 6 p
3 u + 6 p = 243
3 u = 243 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 162 - 3 p --- (3)
(3) = (2)
162 - 3 p = 243 - 6 p
6 p - 3 p = 243 - 162
3 p = 81
1 p = 81 ÷ 3 = 27
Amount that Ben spent = $27
(b)
Amount that Ben brought along
= 7 p
= 7 x 27
= $189
Answer(s): (a) $27; (b) $189
