Victorium and Wendy went shopping. After Victorium spent $73
t, Wendy had 5 times as much as Victorium. If Victorium had $27
t more than Wendy at first,
- Express the amount of money that Victorium had at first in terms of t.
- If t = 31, find the amount of money that the two women had left after shopping.
|
Victorium |
Wendy |
Before |
1 u + $73t |
5 u |
Change |
- $73t |
|
After |
1 u |
5 u |
(a)
1 u + 73
t = 5 u + 27
t5 u - 1 u = 73
t - 27
t4 u = 73
t - 27
t = 46
t1 u = 46
t ÷ 4 = 11.5
t Victorium's amount at first
= 1 u + 73
t = 11.5
t + 73
t = $84.5
t (b)
1 u + 5 u = 6 u
6 u = 6 x 11.5
t = 69
t Amount the two women had left
= 69 x 31
= $2139
Answer(s): (a) $84.5
t; (b) $2139