Penelope and Gabby went shopping. After Penelope spent $92
e, Gabby had 3 times as much as Penelope. If Penelope had $29
e more than Gabby at first,
- Express the amount of money that Penelope had at first in terms of e.
- If e = 20, find the amount of money that the two women had left after shopping.
|
Penelope |
Gabby |
Before |
1 u + $92e |
3 u |
Change |
- $92e |
|
After |
1 u |
3 u |
(a)
1 u + 92
e = 3 u + 29
e3 u - 1 u = 92
e - 29
e2 u = 92
e - 29
e = 63
e1 u = 63
e ÷ 2 = 31.5
e Penelope's amount at first
= 1 u + 92
e = 31.5
e + 92
e = $123.5
e (b)
1 u + 3 u = 4 u
4 u = 4 x 31.5
e = 126
e Amount the two women had left
= 126 x 20
= $2520
Answer(s): (a) $123.5
e; (b) $2520