Nora and Elyse went shopping. After Nora spent $57
s, Elyse had 5 times as much as Nora. If Nora had $25
s more than Elyse at first,
- Express the amount of money that Nora had at first in terms of s.
- If s = 29, find the amount of money that the two women had left after shopping.
|
Nora |
Elyse |
Before |
1 u + $57s |
5 u |
Change |
- $57s |
|
After |
1 u |
5 u |
(a)
1 u + 57
s = 5 u + 25
s5 u - 1 u = 57
s - 25
s4 u = 57
s - 25
s = 32
s1 u = 32
s ÷ 4 = 8
s Nora's amount at first
= 1 u + 57
s = 8
s + 57
s = $65
s (b)
1 u + 5 u = 6 u
6 u = 6 x 8
s = 48
s Amount the two women had left
= 48 x 29
= $1392
Answer(s): (a) $65
s; (b) $1392