Elyse and Wendy went shopping. After Elyse spent $56
p, Wendy had 3 times as much as Elyse. If Elyse had $23
p more than Wendy at first,
- Express the amount of money that Elyse had at first in terms of p.
- If p = 25, find the amount of money that the two women had left after shopping.
|
Elyse |
Wendy |
Before |
1 u + $56p |
3 u |
Change |
- $56p |
|
After |
1 u |
3 u |
(a)
1 u + 56
p = 3 u + 23
p3 u - 1 u = 56
p - 23
p2 u = 56
p - 23
p = 33
p1 u = 33
p ÷ 2 = 16.5
p Elyse's amount at first
= 1 u + 56
p = 16.5
p + 56
p = $72.5
p (b)
1 u + 3 u = 4 u
4 u = 4 x 16.5
p = 66
p Amount the two women had left
= 66 x 25
= $1650
Answer(s): (a) $72.5
p; (b) $1650