Question

The Smith'd CD’s sell for $10 and Arctic Monkeys CD’s sell for $15. If a music store sold 18 CD’s and worth $240, how many of each CD did they sell?​

Answer 1

6 Smith'd CDs

12 Arctic Monkeys CDs

Explanation:

To solve this problem, we can use a system of equations. Let x be the number of Smith'd CDs sold and y be the number of Arctic Monkeys CDs sold. We know that the total number of CDs sold is 18 and the total sales is $240. We can represent this information in the following system of equations:

x + y = 18

10x + 15y = 240

We can solve this system of equations using elimination. Multiplying the top equation by -10, we get:

-10x - 10y = -180

10x + 15y = 240

Adding the top and bottom equations, we get:

5y = 60

Dividing both sides by 5, we get:

y = 12

Now that we know the value of y, we can substitute it into the top equation to find the value of x:

x + 12 = 18

x = 18 - 12

x = 6

Therefore, the music store sold 6 Smith'd CDs and 12 Arctic Monkeys CDs.