Raeann and Olivium went shopping. After Raeann spent $72
v, Olivium had 3 times as much as Raeann. If Raeann had $27
v more than Olivium at first,
- Express the amount of money that Raeann had at first in terms of v.
- If v = 14, find the amount of money that the two lady had left after shopping.
|
Raeann |
Olivium |
Before |
1 u + $72v |
3 u |
Change |
- $72v |
|
After |
1 u |
3 u |
(a)
1 u + 72
v = 3 u + 27
v3 u - 1 u = 72
v - 27
v2 u = 72
v - 27
v = 45
v1 u = 45
v ÷ 2 = 22.5
v Raeann's amount at first
= 1 u + 72
v = 22.5
v + 72
v = $94.5
v (b)
1 u + 3 u = 4 u
4 u = 4 x 22.5
v = 90
v Amount the two lady had left
= 90 x 14
= $1260
Answer(s): (a) $94.5
v; (b) $1260