Christine went shopping and bought each of her eight nephews a gift., either a video costing $14.95 or a cd costing $16.88. She spent $127.32 on the gifts. How many videos and how many cds did she buy?
Never mind on this one as well. I figured it out as well. It took me a minute. lol
4 videos and 4 cds.
To solve this problem, we can use a system of equations. Let's assume that Christine bought "v" videos and "c" CDs. We know that Christine bought a total of 8 gifts, so we can write the equation:
v + c = 8
We also know that the cost of each video is $14.95 and the cost of each CD is $16.88. Therefore, the total cost spent by Christine can be calculated as:
14.95v + 16.88c = 127.32
Now we have a system of equations:
v + c = 8
14.95v + 16.88c = 127.32
To solve this system, we can use the method of substitution or elimination. Let's use the elimination method. Multiply the first equation by 14.95 to match the coefficients of "v":
14.95v + 14.95c = 119.6
Now subtract this equation from the second equation:
14.95v + 16.88c - 14.95v - 14.95c = 127.32 - 119.6
Simplifying:
1.93c = 7.72
Divide both sides by 1.93:
c = 7.72 / 1.93
c ≈ 4
Now we can substitute the value of c in the first equation to find v:
v + 4 = 8
v = 8 - 4
v = 4
So Christine bought 4 videos and 4 CDs.