Cindy and Xylium went shopping. After Cindy spent $90
e, Xylium had 4 times as much as Cindy. If Cindy had $27
e more than Xylium at first,
- Express the amount of money that Cindy had at first in terms of e.
- If e = 20, find the amount of money that the two lady had left after shopping.
|
Cindy |
Xylium |
Before |
1 u + $90e |
4 u |
Change |
- $90e |
|
After |
1 u |
4 u |
(a)
1 u + 90
e = 4 u + 27
e4 u - 1 u = 90
e - 27
e3 u = 90
e - 27
e = 63
e1 u = 63
e ÷ 3 = 21
e Cindy's amount at first
= 1 u + 90
e = 21
e + 90
e = $111
e (b)
1 u + 4 u = 5 u
5 u = 5 x 21
e = 105
e Amount the two lady had left
= 105 x 20
= $2100
Answer(s): (a) $111
e; (b) $2100