Elyse and Kylie went shopping. After Elyse spent $56
y, Kylie had 3 times as much as Elyse. If Elyse had $22
y more than Kylie at first,
- Express the amount of money that Elyse had at first in terms of y.
- If y = 13, find the amount of money that the two lady had left after shopping.
|
Elyse |
Kylie |
Before |
1 u + $56y |
3 u |
Change |
- $56y |
|
After |
1 u |
3 u |
(a)
1 u + 56
y = 3 u + 22
y3 u - 1 u = 56
y - 22
y2 u = 56
y - 22
y = 34
y1 u = 34
y ÷ 2 = 17
y Elyse's amount at first
= 1 u + 56
y = 17
y + 56
y = $73
y (b)
1 u + 3 u = 4 u
4 u = 4 x 17
y = 68
y Amount the two lady had left
= 68 x 13
= $884
Answer(s): (a) $73
y; (b) $884