Opal and Cindy went shopping. After Opal spent $84
e, Cindy had 3 times as much as Opal. If Opal had $22
e more than Cindy at first,
- Express the amount of money that Opal had at first in terms of e.
- If e = 37, find the amount of money that the two women had left after shopping.
|
Opal |
Cindy |
Before |
1 u + $84e |
3 u |
Change |
- $84e |
|
After |
1 u |
3 u |
(a)
1 u + 84
e = 3 u + 22
e3 u - 1 u = 84
e - 22
e2 u = 84
e - 22
e = 62
e1 u = 62
e ÷ 2 = 31
e Opal's amount at first
= 1 u + 84
e = 31
e + 84
e = $115
e (b)
1 u + 3 u = 4 u
4 u = 4 x 31
e = 124
e Amount the two women had left
= 124 x 37
= $4588
Answer(s): (a) $115
e; (b) $4588