Shiyun and Victorium went shopping. After Shiyun spent $80
k, Victorium had 3 times as much as Shiyun. If Shiyun had $29
k more than Victorium at first,
- Express the amount of money that Shiyun had at first in terms of k.
- If k = 24, find the amount of money that the two women had left after shopping.
|
Shiyun |
Victorium |
Before |
1 u + $80k |
3 u |
Change |
- $80k |
|
After |
1 u |
3 u |
(a)
1 u + 80
k = 3 u + 29
k3 u - 1 u = 80
k - 29
k2 u = 80
k - 29
k = 51
k1 u = 51
k ÷ 2 = 25.5
k Shiyun's amount at first
= 1 u + 80
k = 25.5
k + 80
k = $105.5
k (b)
1 u + 3 u = 4 u
4 u = 4 x 25.5
k = 102
k Amount the two women had left
= 102 x 24
= $2448
Answer(s): (a) $105.5
k; (b) $2448