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?
:
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