Pamela and Wendy went shopping. After Pamela spent $91
g, Wendy had 3 times as much as Pamela. If Pamela had $28
g more than Wendy at first,
- Express the amount of money that Pamela had at first in terms of g.
- If g = 30, find the amount of money that the two women had left after shopping.
|
Pamela |
Wendy |
Before |
1 u + $91g |
3 u |
Change |
- $91g |
|
After |
1 u |
3 u |
(a)
1 u + 91
g = 3 u + 28
g3 u - 1 u = 91
g - 28
g2 u = 91
g - 28
g = 63
g1 u = 63
g ÷ 2 = 31.5
g Pamela's amount at first
= 1 u + 91
g = 31.5
g + 91
g = $122.5
g (b)
1 u + 3 u = 4 u
4 u = 4 x 31.5
g = 126
g Amount the two women had left
= 126 x 30
= $3780
Answer(s): (a) $122.5
g; (b) $3780