Linda and Shiyun went shopping. After Linda spent $78
h, Shiyun had 3 times as much as Linda. If Linda had $29
h more than Shiyun at first,
- Express the amount of money that Linda had at first in terms of h.
- If h = 30, find the amount of money that the two women had left after shopping.
|
Linda |
Shiyun |
Before |
1 u + $78h |
3 u |
Change |
- $78h |
|
After |
1 u |
3 u |
(a)
1 u + 78
h = 3 u + 29
h3 u - 1 u = 78
h - 29
h2 u = 78
h - 29
h = 49
h1 u = 49
h ÷ 2 = 24.5
h Linda's amount at first
= 1 u + 78
h = 24.5
h + 78
h = $102.5
h (b)
1 u + 3 u = 4 u
4 u = 4 x 24.5
h = 98
h Amount the two women had left
= 98 x 30
= $2940
Answer(s): (a) $102.5
h; (b) $2940