Emily and Vanessa went shopping. After Emily spent $74
s, Vanessa had 5 times as much as Emily. If Emily had $24
s more than Vanessa at first,
- Express the amount of money that Emily had at first in terms of s.
- If s = 40, find the amount of money that the two women had left after shopping.
|
Emily |
Vanessa |
Before |
1 u + $74s |
5 u |
Change |
- $74s |
|
After |
1 u |
5 u |
(a)
1 u + 74
s = 5 u + 24
s5 u - 1 u = 74
s - 24
s4 u = 74
s - 24
s = 50
s1 u = 50
s ÷ 4 = 12.5
s Emily's amount at first
= 1 u + 74
s = 12.5
s + 74
s = $86.5
s (b)
1 u + 5 u = 6 u
6 u = 6 x 12.5
s = 75
s Amount the two women had left
= 75 x 40
= $3000
Answer(s): (a) $86.5
s; (b) $3000