Japheth and Cody went shopping with a total amount of $432. They had $360 left after shopping. Japheth's remaining money was 4 times the amount he paid for. Cody's remaining money was 6 times the amount he had spent.
- How much did Cody spend?
- How much did Cody bring along for shopping?
|
Japheth |
Cody |
Total |
Before |
5 u |
7 p |
432 |
Change |
- 1 u |
- 1 p |
- 72 |
After |
4 u |
6 p |
360 |
(a)
Amount that Japheth and Cody spent
= 432 - 360
= $72
Amount that Japheth and Cody spent
= 1 u + 1 p
1 u + 1 p = 72
1 u = 72 - 1 p --- (1)
Amount that Japheth and Cody had left
= 4 u + 6 p
4 u + 6 p = 360
4 u = 360 - 6 p --- (2)
Make u the same.
(1)
x 4 4 u = 288 - 4 p --- (3)
(3) = (2)
288 - 4 p = 360 - 6 p
6 p - 4 p = 360 - 288
2 p = 72
1 p = 72 ÷ 2 = 36
Amount that Cody spent = $36
(b)
Amount that Cody brought along
= 7 p
= 7 x 36
= $252
Answer(s): (a) $36; (b) $252