Question

6) A TV and external speakers cost $1,020. The cost of the TV is double that of the speakers.

How much do the TV and the speakers cost? Show your work.

Answer 1

The external speakers cost $340 and the TV costs $680. We found this by setting up an equation based on the information that the total cost is $1,020 and the TV is double the price of the speakers.

Step-by-step explanation:

Let's define the cost of the speakers as x dollars. According to the problem, the TV costs double that, so it would be 2x dollars. It is given that together, the TV and the external speakers cost $1,020, so we can write the following equation to represent the total cost:

x + 2x = $1,020

Combining like terms, we get 3x = $1,020. To find out the cost of one set of speakers, divide both sides by 3:

x = $1,020 / 3

x = $340

Now that we know the cost of the speakers, we can find out the cost of the TV by multiplying by 2:

2x = 2 * $340

2x = $680

Therefore, the external speakers cost $340 and the TV costs $680.

Answer 2

the tv would cost $680 and the speakers would cost $340

we start with 1020, and it is split into three groups of 340. if the tv is double the speakers then 340 doubled is 680. 340+680=1020.