Zoe and Wendy went shopping. After Zoe spent $77
h, Wendy had 5 times as much as Zoe. If Zoe had $27
h more than Wendy at first,
- Express the amount of money that Zoe had at first in terms of h.
- If h = 27, find the amount of money that the two women had left after shopping.
|
Zoe |
Wendy |
Before |
1 u + $77h |
5 u |
Change |
- $77h |
|
After |
1 u |
5 u |
(a)
1 u + 77
h = 5 u + 27
h5 u - 1 u = 77
h - 27
h4 u = 77
h - 27
h = 50
h1 u = 50
h ÷ 4 = 12.5
h Zoe's amount at first
= 1 u + 77
h = 12.5
h + 77
h = $89.5
h (b)
1 u + 5 u = 6 u
6 u = 6 x 12.5
h = 75
h Amount the two women had left
= 75 x 27
= $2025
Answer(s): (a) $89.5
h; (b) $2025