Question

Half the cost of a video game, increased by $200, is equivalent to $950. What is the cost of the video game?

a) $300
b) $750
c) $1,350
d) $900

Answer 1

By setting up an algebraic equation to represent the given problem and solving for the variable, we find that the cost of the video game is $1,500. However, this solution is not included in the provided options, suggesting a potential error.

Step-by-step explanation:

To solve the problem of determining the cost of the video game, we can set up an equation. Let the cost of the video game be represented by the variable C. According to the problem statement, half of this cost, increased by $200, equals $950. We can represent this relationship algebraically as follows: (C / 2) + 200 = 950.

Now, we will solve the equation for C. Firstly, we subtract 200 from both sides of the equation to isolate the term involving C. This gives us:

(C / 2) = 750.

Next, to find the value of C, we multiply both sides of the equation by 2:

C = 750 * 2,

C = 1,500.

Therefore, the cost of the video game is $1,500, which is not one of the options provided, indicating there may be an error in the options given or in the problem statement.