Irene and Fiona went shopping. After Irene spent $81
x, Fiona had 3 times as much as Irene. If Irene had $23
x more than Fiona at first,
- Express the amount of money that Irene had at first in terms of x.
- If x = 32, find the amount of money that the two women had left after shopping.
|
Irene |
Fiona |
Before |
1 u + $81x |
3 u |
Change |
- $81x |
|
After |
1 u |
3 u |
(a)
1 u + 81
x = 3 u + 23
x3 u - 1 u = 81
x - 23
x2 u = 81
x - 23
x = 58
x1 u = 58
x ÷ 2 = 29
x Irene's amount at first
= 1 u + 81
x = 29
x + 81
x = $110
x (b)
1 u + 3 u = 4 u
4 u = 4 x 29
x = 116
x Amount the two women had left
= 116 x 32
= $3712
Answer(s): (a) $110
x; (b) $3712