Cindy and Fanny went shopping. After Cindy spent $64
a, Fanny had 5 times as much as Cindy. If Cindy had $24
a more than Fanny at first,
- Express the amount of money that Cindy had at first in terms of a.
- If a = 31, find the amount of money that the two women had left after shopping.
|
Cindy |
Fanny |
Before |
1 u + $64a |
5 u |
Change |
- $64a |
|
After |
1 u |
5 u |
(a)
1 u + 64
a = 5 u + 24
a5 u - 1 u = 64
a - 24
a4 u = 64
a - 24
a = 40
a1 u = 40
a ÷ 4 = 10
a Cindy's amount at first
= 1 u + 64
a = 10
a + 64
a = $74
a (b)
1 u + 5 u = 6 u
6 u = 6 x 10
a = 60
a Amount the two women had left
= 60 x 31
= $1860
Answer(s): (a) $74
a; (b) $1860