Jose 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?

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UpStudy AI · Accepted Answer

To determine the total cost of the game, let's break down the problem step by step.

**Given:**
- Jose has saved **\$6**.
- This amount represents **two-thirds (2/3)** of the total cost of the game.

**Let’s denote the total cost of the game as $$ C $$.**

According to the problem:
$$
\frac{2}{3} \times C = 6
$$

**To find $$ C $$, follow these steps:**

1. **Set Up the Equation:**
$$
\frac{2}{3}C = 6
$$

2. **Solve for $$ C $$:**
   - Multiply both sides of the equation by the reciprocal of $$ \frac{2}{3} $$, which is $$ \frac{3}{2} $$, to isolate $$ C $$:
$$
C = 6 \times \frac{3}{2}
$$

3. **Calculate the Value:**
$$
C = 6 \times 1.5 = 9
$$

**Conclusion:**
The total cost of the game is **\$9**.
The game costs \$9.

Jose 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?

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