Gem and Julie went shopping. After Gem spent $75
w, Julie had 5 times as much as Gem. If Gem had $29
w more than Julie at first,
- Express the amount of money that Gem had at first in terms of w.
- If w = 25, find the amount of money that the two lady had left after shopping.
|
Gem |
Julie |
Before |
1 u + $75w |
5 u |
Change |
- $75w |
|
After |
1 u |
5 u |
(a)
1 u + 75
w = 5 u + 29
w5 u - 1 u = 75
w - 29
w4 u = 75
w - 29
w = 46
w1 u = 46
w ÷ 4 = 11.5
w Gem's amount at first
= 1 u + 75
w = 11.5
w + 75
w = $86.5
w (b)
1 u + 5 u = 6 u
6 u = 6 x 11.5
w = 69
w Amount the two lady had left
= 69 x 25
= $1725
Answer(s): (a) $86.5
w; (b) $1725