Fabian and Cody went shopping with a total amount of $216. They had $180 left after shopping. Fabian's remaining money was 3 times the amount he paid for. Cody's remaining money was 7 times the amount he had spent.
- How much did Cody spend?
- How much did Cody bring along for shopping?
| |
Fabian |
Cody |
Total |
| Before |
4 u |
8 p |
216 |
| Change |
- 1 u |
- 1 p |
- 36 |
| After |
3 u |
7 p |
180 |
(a)
Amount that Fabian and Cody spent
= 216 - 180
= $36
Amount that Fabian and Cody spent
= 1 u + 1 p
1 u + 1 p = 36
1 u = 36 - 1 p --- (1)
Amount that Fabian and Cody had left
= 3 u + 7 p
3 u + 7 p = 180
3 u = 180 - 7 p --- (2)
Make u the same.
(1)
x 3 3 u = 108 - 3 p --- (3)
(3) = (2)
108 - 3 p = 180 - 7 p
7 p - 3 p = 180 - 108
4 p = 72
1 p = 72 ÷ 4 = 18
Amount that Cody spent = $18
(b)
Amount that Cody brought along
= 8 p
= 8 x 18
= $144
Answer(s): (a) $18; (b) $144
