SOLUTION: An electronics company makes two types of switches. Type A takes 3 minutes to make and requires ​$2 worth of materials. Type B takes 4 minutes to make and requires ​$4 of mater

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Question 1177482: An electronics company makes two types of switches. Type A takes 3 minutes to make and requires ​$2 worth of materials. Type B takes 4 minutes to make and requires ​$4 of materials. In the latest production​ batch, it took 26 hours to make these​ switches, and the materials cost ​$1360. How many of each type of switch were​ made?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

    3a + 4b = 26*60     minutes     (1)

    2a + 4b = 1360      dollars     (2)


In equivalent form


    3a + 4b = 1560                  (1')

    2a + 4b = 1360                  (2')


Subtract equation (2') from equation (1').  You will get

     a      = 200.


Substitute it into equation (1')


     3*200 + 4b = 1560

              b = %281560-3%2A200%29%2F4 = 240.



ANSWER.  200 switches of the type A  and  240 switches of the type B.

Solved.