Kylie and Julie went shopping. After Kylie spent $52
y, Julie had 3 times as much as Kylie. If Kylie had $22
y more than Julie at first,
- Express the amount of money that Kylie had at first in terms of y.
- If y = 32, find the amount of money that the two lady had left after shopping.
|
Kylie |
Julie |
Before |
1 u + $52y |
3 u |
Change |
- $52y |
|
After |
1 u |
3 u |
(a)
1 u + 52
y = 3 u + 22
y3 u - 1 u = 52
y - 22
y2 u = 52
y - 22
y = 30
y1 u = 30
y ÷ 2 = 15
y Kylie's amount at first
= 1 u + 52
y = 15
y + 52
y = $67
y (b)
1 u + 3 u = 4 u
4 u = 4 x 15
y = 60
y Amount the two lady had left
= 60 x 32
= $1920
Answer(s): (a) $67
y; (b) $1920