65 cupcakes in 13 boxes = ? cupcakes in 1 box

Understand the Problem

The question is asking to find out how many cupcakes are in one box based on the ratio provided of 65 cupcakes in 13 boxes. To solve this, we can set up a proportion and calculate the unknown number of cupcakes per box.

Answer

The number of cupcakes in one box is $ 5 $.

Steps to Solve

Set up the proportion

We'll use the information given to set up a proportion, where ( x ) is the number of cupcakes in one box. The proportion can be expressed as:

$$ \frac{65 \text{ cupcakes}}{13 \text{ boxes}} = \frac{x \text{ cupcakes}}{1 \text{ box}} $$

Cross-multiply

Now, we can cross-multiply to solve for ( x ):

$$ 65 \times 1 = 13 \times x $$

Simplify the equation

This simplifies to:

$$ 65 = 13x $$

Solve for ( x )

To find ( x ), divide both sides of the equation by 13:

$$ x = \frac{65}{13} $$

Calculate the final answer

Now calculate ( \frac{65}{13} ):

$$ x = 5 $$

The number of cupcakes in one box is ( 5 ).

More Information

This proportion calculation shows that each box contains 5 cupcakes when you have 65 cupcakes distributed evenly across 13 boxes. Understanding proportions is useful in many real-world scenarios, such as cooking, baking, and budgeting.

Tips

Misreading the problem: Ensure you set up the proportion correctly by identifying which numbers correspond to which variables.
Incorrect cross-multiplication: Double-check the math when cross-multiplying to avoid mistakes.

Thank you for voting!