Esther and Gabby went shopping. After Esther spent $83
e, Gabby had 5 times as much as Esther. If Esther had $23
e more than Gabby at first,
- Express the amount of money that Esther had at first in terms of e.
- If e = 22, find the amount of money that the two lady had left after shopping.
|
Esther |
Gabby |
Before |
1 u + $83e |
5 u |
Change |
- $83e |
|
After |
1 u |
5 u |
(a)
1 u + 83
e = 5 u + 23
e5 u - 1 u = 83
e - 23
e4 u = 83
e - 23
e = 60
e1 u = 60
e ÷ 4 = 15
e Esther's amount at first
= 1 u + 83
e = 15
e + 83
e = $98
e (b)
1 u + 5 u = 6 u
6 u = 6 x 15
e = 90
e Amount the two lady had left
= 90 x 22
= $1980
Answer(s): (a) $98
e; (b) $1980