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?

1 Answer
Stefan V.
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

#25/100 = 1/4 -># one chip burned for every four chips baked

http://www.123rf.com/stock-photo/pie_portion.html

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.

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