Ivory and Fanny went shopping. After Ivory spent $95
z, Fanny had 5 times as much as Ivory. If Ivory had $25
z more than Fanny at first,
- Express the amount of money that Ivory had at first in terms of z.
- If z = 19, find the amount of money that the two women had left after shopping.
|
Ivory |
Fanny |
Before |
1 u + $95z |
5 u |
Change |
- $95z |
|
After |
1 u |
5 u |
(a)
1 u + 95
z = 5 u + 25
z5 u - 1 u = 95
z - 25
z4 u = 95
z - 25
z = 70
z1 u = 70
z ÷ 4 = 17.5
z Ivory's amount at first
= 1 u + 95
z = 17.5
z + 95
z = $112.5
z (b)
1 u + 5 u = 6 u
6 u = 6 x 17.5
z = 105
z Amount the two women had left
= 105 x 19
= $1995
Answer(s): (a) $112.5
z; (b) $1995