Roshel and Marion went shopping. After Roshel spent $57
h, Marion had 3 times as much as Roshel. If Roshel had $30
h more than Marion at first,
- Express the amount of money that Roshel had at first in terms of h.
- If h = 32, find the amount of money that the two lady had left after shopping.
|
Roshel |
Marion |
Before |
1 u + $57h |
3 u |
Change |
- $57h |
|
After |
1 u |
3 u |
(a)
1 u + 57
h = 3 u + 30
h3 u - 1 u = 57
h - 30
h2 u = 57
h - 30
h = 27
h1 u = 27
h ÷ 2 = 13.5
h Roshel's amount at first
= 1 u + 57
h = 13.5
h + 57
h = $70.5
h (b)
1 u + 3 u = 4 u
4 u = 4 x 13.5
h = 54
h Amount the two lady had left
= 54 x 32
= $1728
Answer(s): (a) $70.5
h; (b) $1728