Zara and Wendy went shopping. After Zara spent $82
y, Wendy had 5 times as much as Zara. If Zara had $28
y more than Wendy at first,
- Express the amount of money that Zara had at first in terms of y.
- If y = 19, find the amount of money that the two lady had left after shopping.
|
Zara |
Wendy |
Before |
1 u + $82y |
5 u |
Change |
- $82y |
|
After |
1 u |
5 u |
(a)
1 u + 82
y = 5 u + 28
y5 u - 1 u = 82
y - 28
y4 u = 82
y - 28
y = 54
y1 u = 54
y ÷ 4 = 13.5
y Zara's amount at first
= 1 u + 82
y = 13.5
y + 82
y = $95.5
y (b)
1 u + 5 u = 6 u
6 u = 6 x 13.5
y = 81
y Amount the two lady had left
= 81 x 19
= $1539
Answer(s): (a) $95.5
y; (b) $1539