Nora and Penelope went shopping. After Nora spent $90
g, Penelope had 3 times as much as Nora. If Nora had $26
g more than Penelope at first,
- Express the amount of money that Nora had at first in terms of g.
- If g = 13, find the amount of money that the two women had left after shopping.
|
Nora |
Penelope |
Before |
1 u + $90g |
3 u |
Change |
- $90g |
|
After |
1 u |
3 u |
(a)
1 u + 90
g = 3 u + 26
g3 u - 1 u = 90
g - 26
g2 u = 90
g - 26
g = 64
g1 u = 64
g ÷ 2 = 32
g Nora's amount at first
= 1 u + 90
g = 32
g + 90
g = $122
g (b)
1 u + 3 u = 4 u
4 u = 4 x 32
g = 128
g Amount the two women had left
= 128 x 13
= $1664
Answer(s): (a) $122
g; (b) $1664