Elijah and Perry went shopping with a total amount of $150. They had $120 left after shopping. Elijah's remaining money was 3 times the amount he paid for. Perry's remaining money was 5 times the amount he had spent.
- How much did Perry spend?
- How much did Perry bring along for shopping?
| |
Elijah |
Perry |
Total |
| Before |
4 u |
6 p |
150 |
| Change |
- 1 u |
- 1 p |
- 30 |
| After |
3 u |
5 p |
120 |
(a)
Amount that Elijah and Perry spent
= 150 - 120
= $30
Amount that Elijah and Perry spent
= 1 u + 1 p
1 u + 1 p = 30
1 u = 30 - 1 p --- (1)
Amount that Elijah and Perry had left
= 3 u + 5 p
3 u + 5 p = 120
3 u = 120 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 90 - 3 p --- (3)
(3) = (2)
90 - 3 p = 120 - 5 p
5 p - 3 p = 120 - 90
2 p = 30
1 p = 30 ÷ 2 = 15
Amount that Perry spent = $15
(b)
Amount that Perry brought along
= 6 p
= 6 x 15
= $90
Answer(s): (a) $15; (b) $90
