Vanessa and Diana went shopping. After Vanessa spent $78
s, Diana had 3 times as much as Vanessa. If Vanessa had $27
s more than Diana at first,
- Express the amount of money that Vanessa had at first in terms of s.
- If s = 40, find the amount of money that the two women had left after shopping.
|
Vanessa |
Diana |
Before |
1 u + $78s |
3 u |
Change |
- $78s |
|
After |
1 u |
3 u |
(a)
1 u + 78
s = 3 u + 27
s3 u - 1 u = 78
s - 27
s2 u = 78
s - 27
s = 51
s1 u = 51
s ÷ 2 = 25.5
s Vanessa's amount at first
= 1 u + 78
s = 25.5
s + 78
s = $103.5
s (b)
1 u + 3 u = 4 u
4 u = 4 x 25.5
s = 102
s Amount the two women had left
= 102 x 40
= $4080
Answer(s): (a) $103.5
s; (b) $4080