Shannon and Yoko went shopping. After Shannon spent $95
x, Yoko had 3 times as much as Shannon. If Shannon had $27
x more than Yoko at first,
- Express the amount of money that Shannon had at first in terms of x.
- If x = 15, find the amount of money that the two women had left after shopping.
|
Shannon |
Yoko |
Before |
1 u + $95x |
3 u |
Change |
- $95x |
|
After |
1 u |
3 u |
(a)
1 u + 95
x = 3 u + 27
x3 u - 1 u = 95
x - 27
x2 u = 95
x - 27
x = 68
x1 u = 68
x ÷ 2 = 34
x Shannon's amount at first
= 1 u + 95
x = 34
x + 95
x = $129
x (b)
1 u + 3 u = 4 u
4 u = 4 x 34
x = 136
x Amount the two women had left
= 136 x 15
= $2040
Answer(s): (a) $129
x; (b) $2040