Question

Charlie is saving money to buy a game. So far he has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?

Answer 1

To find the total cost of the game, set up the equation 2/3x = $6 and solve for x. The game costs $9.

Step-by-step explanation:

To find the total cost of the game, we need to determine the full amount which is equivalent to one unit. Since Charlie has saved $6, which is two-thirds of the total cost, we can set up the equation:

2/3x = $6

To solve for x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(3/2) * (2/3)x = (3/2) * ($6)

After canceling out the common factors, we are left with the equation:

x = $9

Therefore, the game costs $9.