Wendy and Joelle went shopping. After Wendy spent $71
y, Joelle had 5 times as much as Wendy. If Wendy had $21
y more than Joelle at first,
- Express the amount of money that Wendy had at first in terms of y.
- If y = 32, find the amount of money that the two lady had left after shopping.
|
Wendy |
Joelle |
Before |
1 u + $71y |
5 u |
Change |
- $71y |
|
After |
1 u |
5 u |
(a)
1 u + 71
y = 5 u + 21
y5 u - 1 u = 71
y - 21
y4 u = 71
y - 21
y = 50
y1 u = 50
y ÷ 4 = 12.5
y Wendy's amount at first
= 1 u + 71
y = 12.5
y + 71
y = $83.5
y (b)
1 u + 5 u = 6 u
6 u = 6 x 12.5
y = 75
y Amount the two lady had left
= 75 x 32
= $2400
Answer(s): (a) $83.5
y; (b) $2400