Risa and Diana went shopping. After Risa spent $93
v, Diana had 4 times as much as Risa. If Risa had $30
v more than Diana at first,
- Express the amount of money that Risa had at first in terms of v.
- If v = 14, find the amount of money that the two lady had left after shopping.
|
Risa |
Diana |
Before |
1 u + $93v |
4 u |
Change |
- $93v |
|
After |
1 u |
4 u |
(a)
1 u + 93
v = 4 u + 30
v4 u - 1 u = 93
v - 30
v3 u = 93
v - 30
v = 63
v1 u = 63
v ÷ 3 = 21
v Risa's amount at first
= 1 u + 93
v = 21
v + 93
v = $114
v (b)
1 u + 4 u = 5 u
5 u = 5 x 21
v = 105
v Amount the two lady had left
= 105 x 14
= $1470
Answer(s): (a) $114
v; (b) $1470