A customer placed an order with a bakery for muffins. The baker has completed 37.5% of the order after baking 81 muffins. How many muffins did the customer order?

Understand the Problem

The problem states that 37.5% of the muffin order is equal to 81 muffins. We will divide 81 by 0.375 to calculate the total number of muffins that comprise 100% of the order.

Answer

$216$

Steps to Solve

Convert the percentage to a decimal

To convert a percentage to a decimal, divide it by 100:

$37.5% = \frac{37.5}{100} = 0.375$

Set up the equation

Let $x$ be the total number of muffins in the order. We know that 37.5% of $x$ is 81. So, we can write the equation:

$0.375x = 81$

Solve for $x$

To find $x$, divide both sides of the equation by 0.375:

$x = \frac{81}{0.375}$

Calculate the value of $x$

$x = 216$

The total number of muffins in the order is 216.

More Information

The problem can also be solved using proportions. The proportion $\frac{37.5}{100} = \frac{81}{x}$ can be set up, and cross-multiplication can also be used to find the value of $x$.

Tips

A common mistake is to multiply 81 by 0.375 instead of dividing. This would give you 37.5% of 81, not the total number of muffins.

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