Usha and Vanessa went shopping. After Usha spent $85
k, Vanessa had 5 times as much as Usha. If Usha had $29
k more than Vanessa at first,
- Express the amount of money that Usha had at first in terms of k.
- If k = 33, find the amount of money that the two women had left after shopping.
|
Usha |
Vanessa |
Before |
1 u + $85k |
5 u |
Change |
- $85k |
|
After |
1 u |
5 u |
(a)
1 u + 85
k = 5 u + 29
k5 u - 1 u = 85
k - 29
k4 u = 85
k - 29
k = 56
k1 u = 56
k ÷ 4 = 14
k Usha's amount at first
= 1 u + 85
k = 14
k + 85
k = $99
k (b)
1 u + 5 u = 6 u
6 u = 6 x 14
k = 84
k Amount the two women had left
= 84 x 33
= $2772
Answer(s): (a) $99
k; (b) $2772