a dvd costs twice as much as a music cd. jack buys 2 dvds and 2 cds and spends 45 dollars. determine how much one cd costs
2c + 4c = 45
c = 7.50
2x + 2y =45
To determine how much one CD costs, we can set up a system of equations based on the given information.
Let's assume the cost of one music CD is 'x' dollars. According to the problem, a DVD costs twice as much as a music CD, so the cost of one DVD would be '2x' dollars.
Given that Jack buys 2 DVDs and 2 CDs and spends a total of 45 dollars, we can write the equation:
2(2x) + 2x = 45
Simplifying the equation, we get:
4x + 2x = 45
Combining like terms, we have:
6x = 45
To isolate 'x', divide both sides of the equation by 6:
x = 45/6 = 7.5
So, the cost of one music CD is 7.5 dollars.