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Question 1177333: An electronics company makes two types of switches. Type A takes 5 minutes to make and requires $4 worth of materials. Type B takes 6 minutes to make and requires $6 of materials. In the latest production batch, it took 40 hours to make these switches, and the materials cost $2200. 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 5 minutes to make and requires $4 worth of materials.
Type B takes 6 minutes to make and requires $6 of materials.
In the latest production batch, it took 40 hours to make these switches, and the materials cost $2200.
How many of each type of switch were made?
:
let a = no. of A switches
let b = no. of B switches
:
The time equation (change 40 hr to min; 40*60 = 2400 min
5a + 6b = 2400
The cost equation
4a + 6b = 2200
use elimination with these two equations
5a + 6b = 2400
4a + 6b = 2200
---------------subtraction eliminates b, find a
a + 0 = 200
a = 200 A type switches were made
:
find b
4(200) + 6b = 2200
6b = 2200 - 800
6b = 1400
b = 1400/6
b = 233.33 ~ 233 B type switches were made
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