christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 or a Cd costing 16.88. she spent 91.63 on gifts how many videos and how many cd's did she buy
v+c = 6
14.95v + 16.88c = 91.63
14.95(6-c) + 16.88c = 91.63
1.93c = 1.93
c = 1
v = 5
To find out how many videos and CDs Christine bought, we can set up a system of equations. Let's use the following variables:
V = Number of videos Christine bought
C = Number of CDs Christine bought
We know the following information:
1. Christine bought a total of 6 gifts, so V + C = 6.
2. Each video costs $14.95, so the total cost for the videos is 14.95V.
3. Each CD costs $16.88, so the total cost for the CDs is 16.88C.
4. The total amount she spent on gifts is $91.63, so 14.95V + 16.88C = 91.63.
Now, we can solve the system of equations.
From equation 1, we have V = 6 - C.
Substituting this value of V into equation 4, we get:
14.95(6 - C) + 16.88C = 91.63
Expanding the equation, we have:
89.7 - 14.95C + 16.88C = 91.63
Combining like terms, we get:
1.93C = 1.93
Dividing both sides by 1.93, we have:
C = 1
Now, substituting the value of C into equation 1, we get:
V + 1 = 6
V = 6 - 1
V = 5
Therefore, Christine bought 5 videos (V = 5) and 1 CD (C = 1).