Ivory and Barbara went shopping. After Ivory spent $73
h, Barbara had 3 times as much as Ivory. If Ivory had $30
h more than Barbara at first,
- Express the amount of money that Ivory had at first in terms of h.
- If h = 19, find the amount of money that the two lady had left after shopping.
|
Ivory |
Barbara |
Before |
1 u + $73h |
3 u |
Change |
- $73h |
|
After |
1 u |
3 u |
(a)
1 u + 73
h = 3 u + 30
h3 u - 1 u = 73
h - 30
h2 u = 73
h - 30
h = 43
h1 u = 43
h ÷ 2 = 21.5
h Ivory's amount at first
= 1 u + 73
h = 21.5
h + 73
h = $94.5
h (b)
1 u + 3 u = 4 u
4 u = 4 x 21.5
h = 86
h Amount the two lady had left
= 86 x 19
= $1634
Answer(s): (a) $94.5
h; (b) $1634