Penelope and Sarah went shopping. After Penelope spent $88
p, Sarah had 4 times as much as Penelope. If Penelope had $22
p more than Sarah at first,
- Express the amount of money that Penelope had at first in terms of p.
- If p = 12, find the amount of money that the two lady had left after shopping.
|
Penelope |
Sarah |
Before |
1 u + $88p |
4 u |
Change |
- $88p |
|
After |
1 u |
4 u |
(a)
1 u + 88
p = 4 u + 22
p4 u - 1 u = 88
p - 22
p3 u = 88
p - 22
p = 66
p1 u = 66
p ÷ 3 = 22
p Penelope's amount at first
= 1 u + 88
p = 22
p + 88
p = $110
p (b)
1 u + 4 u = 5 u
5 u = 5 x 22
p = 110
p Amount the two lady had left
= 110 x 12
= $1320
Answer(s): (a) $110
p; (b) $1320