Question

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?

Answer 1

`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

`25/100 = 1/4 ->` 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 `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.