SOLUTION: Frank and Angie are making pizzas for their business. If Frank can produce all of the necessary pizzas on his own in 6 hours and Angie can do the same job in 4 hours, then what por
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-> SOLUTION: Frank and Angie are making pizzas for their business. If Frank can produce all of the necessary pizzas on his own in 6 hours and Angie can do the same job in 4 hours, then what por
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Question 469708: Frank and Angie are making pizzas for their business. If Frank can produce all of the necessary pizzas on his own in 6 hours and Angie can do the same job in 4 hours, then what portion of the day’s pizzas can they make together in 1 hour? Answer by Edwin McCravy(20060) (Show Source):
You can put this solution on YOUR website! Frank and Angie are making pizzas for their business. If Frank can produce all of the necessary pizzas on his own in 6 hours and Angie can do the same job in 4 hours, then what portion of the day’s pizzas can they make together in 1 hour?
Make this chart:
No of
jobs or
fraction time rate
of job in in
done hours jobs/hour
Frank
Angie
Both together
Let x be the answer, the fraction of the job done by
both. So put x for the fraction of a job done by
both together and 1 for the time in hours:
No of
jobs or
fraction time rate
of job in in
done hours jobs/hour
Frank
Angie
Both together x 1
Frank can do 1 job in 6 hours, and Angie can do
the same job in 4 hours. So we put 1 for the number of jobs
Frank can do and 6 for the number of hours, and similarly
we put 1 for the number of jobs Angie can do and 4 for the
number of hours.
No of
jobs or
fraction time rate
of job in in
done hours jobs/hour
Frank 1 6
Angie 1 4
Both together x 1
Next we fill in all three rates in jobs/hour by dividing
number of jobs (or fraction of a job) by hours.
No of
jobs or
fraction time rate
of job in in
done hours jobs/hour
Frank 1 6 1/6
Angie 1 4 1/4
Both together x 1 x/1
Multiply through by 12
So working together they can do ths of the job in 1 hour.
Edwin
