Neave and Reggie went shopping with a total amount of $319. They had $261 left after shopping. Neave's remaining money was 3 times the amount he paid for. Reggie's remaining money was 6 times the amount he had spent.
- How much did Reggie spend?
- How much did Reggie bring along for shopping?
|
Neave |
Reggie |
Total |
Before |
4 u |
7 p |
319 |
Change |
- 1 u |
- 1 p |
- 58 |
After |
3 u |
6 p |
261 |
(a)
Amount that Neave and Reggie spent
= 319 - 261
= $58
Amount that Neave and Reggie spent
= 1 u + 1 p
1 u + 1 p = 58
1 u = 58 - 1 p --- (1)
Amount that Neave and Reggie had left
= 3 u + 6 p
3 u + 6 p = 261
3 u = 261 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 174 - 3 p --- (3)
(3) = (2)
174 - 3 p = 261 - 6 p
6 p - 3 p = 261 - 174
3 p = 87
1 p = 87 ÷ 3 = 29
Amount that Reggie spent = $29
(b)
Amount that Reggie brought along
= 7 p
= 7 x 29
= $203
Answer(s): (a) $29; (b) $203