Gillian and Tiffany went shopping. After Gillian spent $55
y, Tiffany had 3 times as much as Gillian. If Gillian had $26
y more than Tiffany at first,
- Express the amount of money that Gillian had at first in terms of y.
- If y = 31, find the amount of money that the two lady had left after shopping.
|
Gillian |
Tiffany |
Before |
1 u + $55y |
3 u |
Change |
- $55y |
|
After |
1 u |
3 u |
(a)
1 u + 55
y = 3 u + 26
y3 u - 1 u = 55
y - 26
y2 u = 55
y - 26
y = 29
y1 u = 29
y ÷ 2 = 14.5
y Gillian's amount at first
= 1 u + 55
y = 14.5
y + 55
y = $69.5
y (b)
1 u + 3 u = 4 u
4 u = 4 x 14.5
y = 58
y Amount the two lady had left
= 58 x 31
= $1798
Answer(s): (a) $69.5
y; (b) $1798