Jane and Tiffany went shopping. After Jane spent $75
g, Tiffany had 4 times as much as Jane. If Jane had $24
g more than Tiffany at first,
- Express the amount of money that Jane had at first in terms of g.
- If g = 27, find the amount of money that the two lady had left after shopping.
|
Jane |
Tiffany |
Before |
1 u + $75g |
4 u |
Change |
- $75g |
|
After |
1 u |
4 u |
(a)
1 u + 75
g = 4 u + 24
g4 u - 1 u = 75
g - 24
g3 u = 75
g - 24
g = 51
g1 u = 51
g ÷ 3 = 17
g Jane's amount at first
= 1 u + 75
g = 17
g + 75
g = $92
g (b)
1 u + 4 u = 5 u
5 u = 5 x 17
g = 85
g Amount the two lady had left
= 85 x 27
= $2295
Answer(s): (a) $92
g; (b) $2295