Lucy and Cindy went shopping. After Lucy spent $50
x, Cindy had 3 times as much as Lucy. If Lucy had $24
x more than Cindy at first,
- Express the amount of money that Lucy had at first in terms of x.
- If x = 13, find the amount of money that the two lady had left after shopping.
|
Lucy |
Cindy |
Before |
1 u + $50x |
3 u |
Change |
- $50x |
|
After |
1 u |
3 u |
(a)
1 u + 50
x = 3 u + 24
x3 u - 1 u = 50
x - 24
x2 u = 50
x - 24
x = 26
x1 u = 26
x ÷ 2 = 13
x Lucy's amount at first
= 1 u + 50
x = 13
x + 50
x = $63
x (b)
1 u + 3 u = 4 u
4 u = 4 x 13
x = 52
x Amount the two lady had left
= 52 x 13
= $676
Answer(s): (a) $63
x; (b) $676