Gwen and Victorium went shopping. After Gwen spent $56
y, Victorium had 5 times as much as Gwen. If Gwen had $26
y more than Victorium at first,
- Express the amount of money that Gwen had at first in terms of y.
- If y = 27, find the amount of money that the two women had left after shopping.
|
Gwen |
Victorium |
Before |
1 u + $56y |
5 u |
Change |
- $56y |
|
After |
1 u |
5 u |
(a)
1 u + 56
y = 5 u + 26
y5 u - 1 u = 56
y - 26
y4 u = 56
y - 26
y = 30
y1 u = 30
y ÷ 4 = 7.5
y Gwen's amount at first
= 1 u + 56
y = 7.5
y + 56
y = $63.5
y (b)
1 u + 5 u = 6 u
6 u = 6 x 7.5
y = 45
y Amount the two women had left
= 45 x 27
= $1215
Answer(s): (a) $63.5
y; (b) $1215