A baker can bake 90 cookies in half an hour. If she takes one hour for lunch and two 15 minute breaks during the day, how many cookies can she bake from 9am - 5pm?.

The unitary method is given as the techniques used to derive the values for the multiple subjects with the use of the single subject values.

The time between 9am to 5 pm has been equivalent to 8 hours.

In the working hours, the time for which baker takes break has been:

[tex]\rm Break\;time=1\;hour\;+\;15\;minutes\;\times\;2\\Break\;time=60\;minutes\;+\;30\;minutes\\Brea\;time=90\;minutes[/tex]

The working hours of baker in 8 hours (480 minutes) are:

[tex]\rm Working\;hours=Total\;time-Break\\Working\;hours=480\;minutes-90\;minutes\\Working\;hours=390\;minutes[/tex]

The time required to bake 90 cookies is 30 minutes. The number of cookies baked in 390 minutes will be:

[tex]\rm 30\;minutes\;bake=90\;cookies\\\\390\;minutes\;bake=\dfrac{90}{30}\;\times\;390\;cookies\\\\ 390\;minutes=1170\;cookies[/tex]

The number of cookies baked by the baker from 9am to 6pm are 1170.

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