Irene and Ivory went shopping. After Irene spent $95
a, Ivory had 4 times as much as Irene. If Irene had $23
a more than Ivory at first,
- Express the amount of money that Irene had at first in terms of a.
- If a = 25, find the amount of money that the two women had left after shopping.
|
Irene |
Ivory |
Before |
1 u + $95a |
4 u |
Change |
- $95a |
|
After |
1 u |
4 u |
(a)
1 u + 95
a = 4 u + 23
a4 u - 1 u = 95
a - 23
a3 u = 95
a - 23
a = 72
a1 u = 72
a ÷ 3 = 24
a Irene's amount at first
= 1 u + 95
a = 24
a + 95
a = $119
a (b)
1 u + 4 u = 5 u
5 u = 5 x 24
a = 120
a Amount the two women had left
= 120 x 25
= $3000
Answer(s): (a) $119
a; (b) $3000