Shannon and Winnie went shopping. After Shannon spent $72
h, Winnie had 5 times as much as Shannon. If Shannon had $24
h more than Winnie at first,
- Express the amount of money that Shannon had at first in terms of h.
- If h = 23, find the amount of money that the two women had left after shopping.
|
Shannon |
Winnie |
Before |
1 u + $72h |
5 u |
Change |
- $72h |
|
After |
1 u |
5 u |
(a)
1 u + 72
h = 5 u + 24
h5 u - 1 u = 72
h - 24
h4 u = 72
h - 24
h = 48
h1 u = 48
h ÷ 4 = 12
h Shannon's amount at first
= 1 u + 72
h = 12
h + 72
h = $84
h (b)
1 u + 5 u = 6 u
6 u = 6 x 12
h = 72
h Amount the two women had left
= 72 x 23
= $1656
Answer(s): (a) $84
h; (b) $1656