# One third of the bagels in a bakery are sesame bagels. There are 72 sesame bagels. Can you write an equation to find how many bagels were there in the bakery?

May 16, 2018

$\frac{1}{3} \times x = 72$

It turns out that there are $216$ bagels.

#### Explanation:

A common error that students make is to write $\frac{1}{3} = 72$

This is obviously not true!!

What they should write is that $\frac{1}{3}$ of some number $= 72$

Let that number be $x$

$\frac{1}{3} \times x = 72$

$\frac{3 \times 1}{3} = 3 \times 72 \text{ } \leftarrow$ multiply both sides by $3$

$x = 216$

May 16, 2018

$216$

#### Explanation:

Let the total bagels in the bakery be$x$

$\therefore \frac{1}{3} x = 72$

$\therefore x = \frac{72}{\frac{1}{3}}$

$\therefore x = \frac{72}{1} \times \frac{3}{1}$

$\therefore x = 216$