Jenson and Ahmad went shopping with a total amount of $250. They had $200 left after shopping. Jenson's remaining money was 3 times the amount he paid for. Ahmad's remaining money was 5 times the amount he had spent.
- How much did Ahmad spend?
- How much did Ahmad bring along for shopping?
|
Jenson |
Ahmad |
Total |
Before |
4 u |
6 p |
250 |
Change |
- 1 u |
- 1 p |
- 50 |
After |
3 u |
5 p |
200 |
(a)
Amount that Jenson and Ahmad spent
= 250 - 200
= $50
Amount that Jenson and Ahmad spent
= 1 u + 1 p
1 u + 1 p = 50
1 u = 50 - 1 p --- (1)
Amount that Jenson and Ahmad had left
= 3 u + 5 p
3 u + 5 p = 200
3 u = 200 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 150 - 3 p --- (3)
(3) = (2)
150 - 3 p = 200 - 5 p
5 p - 3 p = 200 - 150
2 p = 50
1 p = 50 ÷ 2 = 25
Amount that Ahmad spent = $25
(b)
Amount that Ahmad brought along
= 6 p
= 6 x 25
= $150
Answer(s): (a) $25; (b) $150