Will and Neave went shopping with a total amount of $190. They had $152 left after shopping. Will's remaining money was 3 times the amount he paid for. Neave's remaining money was 5 times the amount he had spent.
- How much did Neave spend?
- How much did Neave bring along for shopping?
| |
Will |
Neave |
Total |
| Before |
4 u |
6 p |
190 |
| Change |
- 1 u |
- 1 p |
- 38 |
| After |
3 u |
5 p |
152 |
(a)
Amount that Will and Neave spent
= 190 - 152
= $38
Amount that Will and Neave spent
= 1 u + 1 p
1 u + 1 p = 38
1 u = 38 - 1 p --- (1)
Amount that Will and Neave had left
= 3 u + 5 p
3 u + 5 p = 152
3 u = 152 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 114 - 3 p --- (3)
(3) = (2)
114 - 3 p = 152 - 5 p
5 p - 3 p = 152 - 114
2 p = 38
1 p = 38 ÷ 2 = 19
Amount that Neave spent = $19
(b)
Amount that Neave brought along
= 6 p
= 6 x 19
= $114
Answer(s): (a) $19; (b) $114
