Kathy and Esther went shopping. After Kathy spent $58
s, Esther had 5 times as much as Kathy. If Kathy had $28
s more than Esther at first,
- Express the amount of money that Kathy had at first in terms of s.
- If s = 34, find the amount of money that the two lady had left after shopping.
|
Kathy |
Esther |
Before |
1 u + $58s |
5 u |
Change |
- $58s |
|
After |
1 u |
5 u |
(a)
1 u + 58
s = 5 u + 28
s5 u - 1 u = 58
s - 28
s4 u = 58
s - 28
s = 30
s1 u = 30
s ÷ 4 = 7.5
s Kathy's amount at first
= 1 u + 58
s = 7.5
s + 58
s = $65.5
s (b)
1 u + 5 u = 6 u
6 u = 6 x 7.5
s = 45
s Amount the two lady had left
= 45 x 34
= $1530
Answer(s): (a) $65.5
s; (b) $1530