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


To find the total cost of the game, let's set up an equation based on the information given.

Yoko has saved $12, which is three-fourths of the total cost of the game. Let $ x $ represent the total cost of the game. The relationship between Yoko's savings and the total cost can be expressed as:

\[
\frac{3}{4}x = 12
\]

To solve for $ x $, we need to isolate $ x $ on one side of the equation. We can do this by multiplying both sides by the reciprocal of $\frac{3}{4}$, which is $\frac{4}{3}$:

\[
x = 12 \times \frac{4}{3}
\]

Now, calculate the multiplication:

\[
x = \frac{12 \times 4}{3} = \frac{48}{3} = 16
\]

Therefore, the total cost of the game is **$16**.

Would you like further details or have any questions?

Here are 5 related questions that expand on this topic:
1. If Yoko saves another $4, how much will she have saved in total?
2. What fraction of the total cost of the game has Yoko saved if she has saved $8?
3. How much more money does Yoko need to save to buy the game?
4. If the game’s price increases by 25%, how much would it cost?
5. How much would Yoko need to save each week to buy the game in 4 weeks?

**Tip:** When dealing with fractions and percentages, it’s often helpful to convert them into equations for easier manipulation.

Discover how to calculate the total cost of Yoko's game based on the fraction of money saved. Solve the equation step-by-step and understand the relationship between savings and total cost. Suitable for Grades 4-6.

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