Gwen and Erika went shopping. After Gwen spent $73
s, Erika had 4 times as much as Gwen. If Gwen had $22
s more than Erika at first,
- Express the amount of money that Gwen had at first in terms of s.
- If s = 39, find the amount of money that the two women had left after shopping.
|
Gwen |
Erika |
Before |
1 u + $73s |
4 u |
Change |
- $73s |
|
After |
1 u |
4 u |
(a)
1 u + 73
s = 4 u + 22
s4 u - 1 u = 73
s - 22
s3 u = 73
s - 22
s = 51
s1 u = 51
s ÷ 3 = 17
s Gwen's amount at first
= 1 u + 73
s = 17
s + 73
s = $90
s (b)
1 u + 4 u = 5 u
5 u = 5 x 17
s = 85
s Amount the two women had left
= 85 x 39
= $3315
Answer(s): (a) $90
s; (b) $3315