Zoe and Gillian went shopping. After Zoe spent $89
g, Gillian had 3 times as much as Zoe. If Zoe had $24
g more than Gillian at first,
- Express the amount of money that Zoe had at first in terms of g.
- If g = 19, find the amount of money that the two women had left after shopping.
|
Zoe |
Gillian |
Before |
1 u + $89g |
3 u |
Change |
- $89g |
|
After |
1 u |
3 u |
(a)
1 u + 89
g = 3 u + 24
g3 u - 1 u = 89
g - 24
g2 u = 89
g - 24
g = 65
g1 u = 65
g ÷ 2 = 32.5
g Zoe's amount at first
= 1 u + 89
g = 32.5
g + 89
g = $121.5
g (b)
1 u + 3 u = 4 u
4 u = 4 x 32.5
g = 130
g Amount the two women had left
= 130 x 19
= $2470
Answer(s): (a) $121.5
g; (b) $2470