Question

Antonio is saving money to buy a CD player that costs $120. He also wants to buy some CDs to play in it. New CDs cost $15, and used CDs cost $5. Antonio wants to buy the same number of new and used CDs. Write and solve an equation to find the number of each type of CD Antonio can buy if he spends all of the $200 he has saved.

A) 4 new CDs and 4 used CDs
B) 5 new CDs and 5 used CDs
C) 6 new CDs and 6 used CDs
D) 7 new CDs and 7 used CDs

Answer 1

Antonio can purchase 4 new CDs and 4 used CDs with his $200 savings after buying a CD player for $120. An equation was set up based on the costs to find that he can afford exactly 4 of each type of CD.

Step-by-step explanation:

Antonio wants to buy a CD player for $120 and an equal number of new and used CDs with his $200 savings. New CDs cost $15 each and used CDs cost $5 each. To find how many of each type he can buy, we need to set up an equation considering the total amount he can spend and the cost of each item.

Let the number of new and used CDs be represented by x. The total cost of new CDs is therefore 15x and the total cost of used CDs is 5x. Including the CD player, the equation to represent his budget is 120 + 15x + 5x = 200. This simplifies to 20x = 80, leading to x = 4. Thus, Antonio can buy 4 new CDs and 4 used CDs.