SOLUTION: at ferrarras print shop, there are two kinds of printing presses: model a can print 70 books per day and model b can print 55 books per day. the company owns 14 total printing pres

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Question 1159015: at ferrarras print shop, there are two kinds of printing presses: model a can print 70 books per day and model b can print 55 books per day. the company owns 14 total printing presses and this allows them to print 905 books per day. how many of each type of press do they have?
Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.

You have the system of 2 equations

    a   + b =   14      (1)

    70a + 55b = 905     (2)


From equation (1), express  b = 14-a  and substitute it into equation (2), replacing b there

    70a + 55(14-a) = 905.


From this equation

    a = %28905+-+55%2A14%29%2F%2870-55%29 = 9.


ANSWER.  9 printing press of the type A and the rest, (14-9) = 5 printing press of the type B.


CHECK.  70*9 + 55*5 = 905 books.   ! Correct !

Solved.