SOLUTION: A machine in a pottery factory takes 3 minutes to form a bowl and 2 minutes to form a plate. The material for a bowl costs $0.25 and the material for a plate costs $0.20. If the ma

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Question 1096741: A machine in a pottery factory takes 3 minutes to form a bowl and 2 minutes to form a plate. The material for a bowl costs $0.25 and the material for a plate costs $0.20. If the machine runs for 8 hours straight and exactly $44 is spent for materials, how many bowls and plates can be produced.
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of bowls produced
Let = number of plates produced
-------------------------------------
Convert hrs to min
(1)
(2)
---------------------------
(1)
and
(2)
(2)
----------------------------
Multiply both sides of (1) by
Subtract (2) from (1)
------------------------------------
(1)
(2)
-----------------------------

(1)
Solve for

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
From the condition, you have these two equations (the system of two equations)

   3*b +    2*p = 8*60      (1)    (minutes)
0.25*b + 0.20*p =   44      (2)    (dollars)


where b = # of bowls,  p = # of plates.  Simplify

   3b +  2p =  480,         (3)
  25b + 20p = 4400.         (4)


Setup is done. Solve it by any method you know. Eliminating of "p" seems to be attractive.


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