Lucy and Elyse went shopping. After Lucy spent $94
p, Elyse had 5 times as much as Lucy. If Lucy had $26
p more than Elyse at first,
- Express the amount of money that Lucy had at first in terms of p.
- If p = 16, find the amount of money that the two women had left after shopping.
|
Lucy |
Elyse |
Before |
1 u + $94p |
5 u |
Change |
- $94p |
|
After |
1 u |
5 u |
(a)
1 u + 94
p = 5 u + 26
p5 u - 1 u = 94
p - 26
p4 u = 94
p - 26
p = 68
p1 u = 68
p ÷ 4 = 17
p Lucy's amount at first
= 1 u + 94
p = 17
p + 94
p = $111
p (b)
1 u + 5 u = 6 u
6 u = 6 x 17
p = 102
p Amount the two women had left
= 102 x 16
= $1632
Answer(s): (a) $111
p; (b) $1632