# Danny just hired a new employee to work in your bakeshop. In one hour the employee burned 625 chocolate chip cookies. If this represented 25% of the day’s production, how many cookies did you plan on producing that day?

Aug 3, 2016

$2500$

#### Explanation:

You know that the new employee burned $625$ chocolate chips in one hour and that this many chocolate chips represented 25% of that day's production.

As you know, percentages are used to express fractions that have $100$ as their denominator. In this case, you can say that

25% = 25/100

This means that for every $100$ chocolate chips baked that day, $25$ were burned by the new employee. You can simplify this ratio to get

$\frac{25}{100} = \frac{1}{4} \to$ one chip burned for every four chips baked

Since you know how many chocolate chips were burned, you an scale up this number by using the $\frac{1}{4}$ ratio to find the total number of chocolate chips baked

625 color(red)(cancel(color(black)("burned"))) * "4 baked"/(1color(red)(cancel(color(black)("burned")))) = "2500 baked"

Therefore, the bakeshop baked $2500$ chocolate chips that day.