Perry and Paul went shopping with a total amount of $253. They had $207 left after shopping. Perry's remaining money was 3 times the amount he paid for. Paul's remaining money was 6 times the amount he had spent.
- How much did Paul spend?
- How much did Paul bring along for shopping?
| |
Perry |
Paul |
Total |
| Before |
4 u |
7 p |
253 |
| Change |
- 1 u |
- 1 p |
- 46 |
| After |
3 u |
6 p |
207 |
(a)
Amount that Perry and Paul spent
= 253 - 207
= $46
Amount that Perry and Paul spent
= 1 u + 1 p
1 u + 1 p = 46
1 u = 46 - 1 p --- (1)
Amount that Perry and Paul had left
= 3 u + 6 p
3 u + 6 p = 207
3 u = 207 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 138 - 3 p --- (3)
(3) = (2)
138 - 3 p = 207 - 6 p
6 p - 3 p = 207 - 138
3 p = 69
1 p = 69 ÷ 3 = 23
Amount that Paul spent = $23
(b)
Amount that Paul brought along
= 7 p
= 7 x 23
= $161
Answer(s): (a) $23; (b) $161
