The snack bar at the soccer field is charging $12 for 9 hamburgers. At that rate, how many hamburgers could you get for $20?

To find out how many hamburgers you can get for $20, we can use a proportional relationship based on the given rate of $12 for 9 hamburgers. Here's how to solve it step by step:

We know:
- 9 hamburgers cost $12.
- Let $ x $ be the number of hamburgers you can get for $20.

We can set up the following proportion:

\[
\frac{9 \, \text{hamburgers}}{12 \, \text{dollars}} = \frac{x \, \text{hamburgers}}{20 \, \text{dollars}}
\]

Now, solve for $ x $ by cross-multiplying:

\[
9 \times 20 = 12 \times x
\]

\[
180 = 12x
\]

Next, divide both sides by 12 to isolate $ x $:

\[
x = \frac{180}{12} = 15
\]

So, for $20, you can get **15 hamburgers**.

Would you like more details on proportions or have any questions?

Here are 5 related questions you could explore:
1. How much would 18 hamburgers cost at the same rate?
2. What is the cost per hamburger at this snack bar?
3. If the price increased by 25%, how much would 9 hamburgers cost?
4. How many hamburgers could you get for $50 at this rate?
5. If you wanted 24 hamburgers, how much would that cost?

**Tip**: Proportions are often used when dealing with rates or comparisons, so mastering them helps in many real-world situations like budgeting and shopping!

Learn how to calculate how many hamburgers you can buy for $20 using proportions. This problem explores rate calculations and proportional reasoning, suitable for students in Grades 6-8. The rate provided is $12 for 9 hamburgers.

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