Natalie and Eva went shopping. After Natalie spent $75
v, Eva had 3 times as much as Natalie. If Natalie had $21
v more than Eva at first,
- Express the amount of money that Natalie had at first in terms of v.
- If v = 13, find the amount of money that the two women had left after shopping.
|
Natalie |
Eva |
Before |
1 u + $75v |
3 u |
Change |
- $75v |
|
After |
1 u |
3 u |
(a)
1 u + 75
v = 3 u + 21
v3 u - 1 u = 75
v - 21
v2 u = 75
v - 21
v = 54
v1 u = 54
v ÷ 2 = 27
v Natalie's amount at first
= 1 u + 75
v = 27
v + 75
v = $102
v (b)
1 u + 3 u = 4 u
4 u = 4 x 27
v = 108
v Amount the two women had left
= 108 x 13
= $1404
Answer(s): (a) $102
v; (b) $1404