Kylie and Penelope went shopping. After Kylie spent $94
s, Penelope had 5 times as much as Kylie. If Kylie had $30
s more than Penelope at first,
- Express the amount of money that Kylie had at first in terms of s.
- If s = 35, find the amount of money that the two women had left after shopping.
|
Kylie |
Penelope |
Before |
1 u + $94s |
5 u |
Change |
- $94s |
|
After |
1 u |
5 u |
(a)
1 u + 94
s = 5 u + 30
s5 u - 1 u = 94
s - 30
s4 u = 94
s - 30
s = 64
s1 u = 64
s ÷ 4 = 16
s Kylie's amount at first
= 1 u + 94
s = 16
s + 94
s = $110
s (b)
1 u + 5 u = 6 u
6 u = 6 x 16
s = 96
s Amount the two women had left
= 96 x 35
= $3360
Answer(s): (a) $110
s; (b) $3360