Sabrina and Gwen went shopping. After Sabrina spent $79
g, Gwen had 5 times as much as Sabrina. If Sabrina had $21
g more than Gwen at first,
- Express the amount of money that Sabrina had at first in terms of g.
- If g = 26, find the amount of money that the two women had left after shopping.
|
Sabrina |
Gwen |
Before |
1 u + $79g |
5 u |
Change |
- $79g |
|
After |
1 u |
5 u |
(a)
1 u + 79
g = 5 u + 21
g5 u - 1 u = 79
g - 21
g4 u = 79
g - 21
g = 58
g1 u = 58
g ÷ 4 = 14.5
g Sabrina's amount at first
= 1 u + 79
g = 14.5
g + 79
g = $93.5
g (b)
1 u + 5 u = 6 u
6 u = 6 x 14.5
g = 87
g Amount the two women had left
= 87 x 26
= $2262
Answer(s): (a) $93.5
g; (b) $2262