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?

Question

Ethan Adkins · Accepted Answer

#2500#

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.

Jameson Allen · Answer

undefined To find the total number of cookies planned for production that day, divide the number of cookies burned in one hour by the percentage burned, then multiply by 100.

625 cookies burned / 25% = 2500 cookies planned for production.