Xylium and Cindy went shopping. After Xylium spent $69
s, Cindy had 5 times as much as Xylium. If Xylium had $25
s more than Cindy at first,
- Express the amount of money that Xylium had at first in terms of s.
- If s = 22, find the amount of money that the two women had left after shopping.
|
Xylium |
Cindy |
Before |
1 u + $69s |
5 u |
Change |
- $69s |
|
After |
1 u |
5 u |
(a)
1 u + 69
s = 5 u + 25
s5 u - 1 u = 69
s - 25
s4 u = 69
s - 25
s = 44
s1 u = 44
s ÷ 4 = 11
s Xylium's amount at first
= 1 u + 69
s = 11
s + 69
s = $80
s (b)
1 u + 5 u = 6 u
6 u = 6 x 11
s = 66
s Amount the two women had left
= 66 x 22
= $1452
Answer(s): (a) $80
s; (b) $1452