Sarah and Raeann went shopping. After Sarah spent $94
v, Raeann had 3 times as much as Sarah. If Sarah had $29
v more than Raeann at first,
- Express the amount of money that Sarah had at first in terms of v.
- If v = 35, find the amount of money that the two women had left after shopping.
|
Sarah |
Raeann |
Before |
1 u + $94v |
3 u |
Change |
- $94v |
|
After |
1 u |
3 u |
(a)
1 u + 94
v = 3 u + 29
v3 u - 1 u = 94
v - 29
v2 u = 94
v - 29
v = 65
v1 u = 65
v ÷ 2 = 32.5
v Sarah's amount at first
= 1 u + 94
v = 32.5
v + 94
v = $126.5
v (b)
1 u + 3 u = 4 u
4 u = 4 x 32.5
v = 130
v Amount the two women had left
= 130 x 35
= $4550
Answer(s): (a) $126.5
v; (b) $4550