Jean and Julie went shopping. After Jean spent $67
x, Julie had 3 times as much as Jean. If Jean had $25
x more than Julie at first,
- Express the amount of money that Jean had at first in terms of x.
- If x = 22, find the amount of money that the two lady had left after shopping.
|
Jean |
Julie |
Before |
1 u + $67x |
3 u |
Change |
- $67x |
|
After |
1 u |
3 u |
(a)
1 u + 67
x = 3 u + 25
x3 u - 1 u = 67
x - 25
x2 u = 67
x - 25
x = 42
x1 u = 42
x ÷ 2 = 21
x Jean's amount at first
= 1 u + 67
x = 21
x + 67
x = $88
x (b)
1 u + 3 u = 4 u
4 u = 4 x 21
x = 84
x Amount the two lady had left
= 84 x 22
= $1848
Answer(s): (a) $88
x; (b) $1848