Question

Diane is saving money to buy a game. So far she has saved 12$, which is two-thirds of the total cost of the game. How much does the game cost?

Answer 1

Diane has saved $12, which is two-thirds of the cost of the game. By setting up an equation and solving for the total cost, we determine the game's full price is $18.

Step-by-step explanation:

The student is asking about the total cost of a game given that Diane has saved $12, which is two-thirds of the total cost.

To find the full price of the game, we need to set up a simple equation where two-thirds of the total cost (2/3 * total cost) is equal to $12.

By multiplying both sides of the equation by 3/2 (the reciprocal of 2/3), we can solve for the total cost.

Here's how it's done step-by-step:

1. Let the total cost of the game be represented by the variable x.
2. Set up the equation: 2/3 * x = $12.
3. To isolate x, multiply both sides by 3/2: x = $12 * (3/2).
4. Calculate the total cost: x = $18.

Therefore, the game Diane wants to save for costs $18.