Problema Solution

A machine requires five hours to make a unit of Product A and six hours to make a unit of Product B. Last month the machine operated for 350 hours producing a total of 60 units. How many units of Product A were produced?

Answer provided by our tutors

let


a = the number of units of Product A produced


b = the number of units of Product B produced


Last month the machine operated for 350 hours:


5a + 6b = 350


producing a total of 60 units:


a + b = 60


by solving the system of equations:


5a + 6b = 350


a + b = 60


we find:


a = 10 units


b = 50 units


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there were 10 units of Product A produced.