Question 1128990: An electronics company makes two types of switches. Type A takes 3 minutes to make and requires $2 worth of materials. Type B takes 6 minutes to make and requires $6 of materials. In the latest production batch, it took 36 hours to make these switches, and the materials cost $1960. How many of each type of switch were made?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! An electronics company makes two types of switches.
Type A takes 3 minutes to make and requires $2 worth of materials.
Type B takes 6 minutes to make and requires $6 of materials.
In the latest production batch, it took 36 hours to make these switches,
and the materials cost $1960.
How many of each type of switch were made?
:
let a = no. of A switches
let b = no. of B
:
Time equation, change 36 hrs of 2160 min
3a + 6b = 2160
the cost equation
2a + 6b = 1960
Use elimination on these two equations
3a + 6b = 2160
2a + 6b = 1960
-------------------subtraction eliminates b, find a
a + 0 = 200
a = 200 A type switches made
Find b using the 2nd equation
2(200) + 6b = 1960
6b = 1960 - 400
6b = 1560
b = 1560/6
b = 260 B type switches made
:
;
Check solutions in the 1st equation
3(200) + 6(260) =
600 + 1560 = 2160
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