Question

A television and game player cost a total of $1224.. The cost of the television is three times the cost of the game player. Find the cost of each item.

Answer 1

To find the costs of the television and game player, we set up a system of equations, solving for x, which is the cost of the game player. We then found the cost of the television by multiplying x by 3. The game player costs $306 and the television costs $918.

Step-by-step explanation:

The question deals with the mathematical concept of linear equations, specifically a system of equations. Let's denote x as the cost of the game player and 3x as the cost of the television. We are given that their total cost is $1224.

So, our two equations would be:
1. x + 3x = 1224 (since the cost of the television is three times the cost of the game player and together they cost $1224)
2. 4x = 1224 (after combining like terms from equation 1)

Next, we solve for x:

4x = 1224

x = 1224 / 4

x = 306

So the cost of the game player is $306. To find the cost of the television, we multiply 306 by 3 (since the TV is three times the cost of the game player):

3x = 3 * 306

3x = 918

Therefore, the cost of the television is $918.