Usha and Diana went shopping. After Usha spent $94
k, Diana had 5 times as much as Usha. If Usha had $24
k more than Diana at first,
- Express the amount of money that Usha had at first in terms of k.
- If k = 34, find the amount of money that the two lady had left after shopping.
|
Usha |
Diana |
Before |
1 u + $94k |
5 u |
Change |
- $94k |
|
After |
1 u |
5 u |
(a)
1 u + 94
k = 5 u + 24
k5 u - 1 u = 94
k - 24
k4 u = 94
k - 24
k = 70
k1 u = 70
k ÷ 4 = 17.5
k Usha's amount at first
= 1 u + 94
k = 17.5
k + 94
k = $111.5
k (b)
1 u + 5 u = 6 u
6 u = 6 x 17.5
k = 105
k Amount the two lady had left
= 105 x 34
= $3570
Answer(s): (a) $111.5
k; (b) $3570