Kimberly and Abi went shopping. After Kimberly spent $68
v, Abi had 3 times as much as Kimberly. If Kimberly had $29
v more than Abi at first,
- Express the amount of money that Kimberly had at first in terms of v.
- If v = 26, find the amount of money that the two women had left after shopping.
|
Kimberly |
Abi |
Before |
1 u + $68v |
3 u |
Change |
- $68v |
|
After |
1 u |
3 u |
(a)
1 u + 68
v = 3 u + 29
v3 u - 1 u = 68
v - 29
v2 u = 68
v - 29
v = 39
v1 u = 39
v ÷ 2 = 19.5
v Kimberly's amount at first
= 1 u + 68
v = 19.5
v + 68
v = $87.5
v (b)
1 u + 3 u = 4 u
4 u = 4 x 19.5
v = 78
v Amount the two women had left
= 78 x 26
= $2028
Answer(s): (a) $87.5
v; (b) $2028