Esther and Kylie went shopping. After Esther spent $68
x, Kylie had 3 times as much as Esther. If Esther had $24
x more than Kylie at first,
- Express the amount of money that Esther had at first in terms of x.
- If x = 19, find the amount of money that the two women had left after shopping.
|
Esther |
Kylie |
Before |
1 u + $68x |
3 u |
Change |
- $68x |
|
After |
1 u |
3 u |
(a)
1 u + 68
x = 3 u + 24
x3 u - 1 u = 68
x - 24
x2 u = 68
x - 24
x = 44
x1 u = 44
x ÷ 2 = 22
x Esther's amount at first
= 1 u + 68
x = 22
x + 68
x = $90
x (b)
1 u + 3 u = 4 u
4 u = 4 x 22
x = 88
x Amount the two women had left
= 88 x 19
= $1672
Answer(s): (a) $90
x; (b) $1672