SOLUTION: A group of ten 6 and 12 volt batteries are wired in series; the sum of their voltages is 84 volts. How many of each type of battery are used?
6x + 12x = 84
18x = 84 does not w
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-> SOLUTION: A group of ten 6 and 12 volt batteries are wired in series; the sum of their voltages is 84 volts. How many of each type of battery are used?
6x + 12x = 84
18x = 84 does not w
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Question 157183: A group of ten 6 and 12 volt batteries are wired in series; the sum of their voltages is 84 volts. How many of each type of battery are used?
6x + 12x = 84
18x = 84 does not work Found 3 solutions by Alan3354, checkley77, oscargut:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A group of ten 6 and 12 volt batteries are wired in series; the sum of their voltages is 84 volts. How many of each type of battery are used?
6x + 12x = 84
18x = 84 does not work
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Call the 12V batteries T and the 6V S
There is a total of 10 batteries, so
T+S=10
12T + 6S = 84
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T=10-S
Sub for T
12(10-S) + 6S = 84
120-12S + 6S = 84
120 -6S = 84
-6S = -36
S = 6
T = 4
Check:
6*6 + 12*4 does = 84
You can put this solution on YOUR website! x+y=10 (multiply by -6 & add these 2 equations.
6x+12y=84
-6x-6y=-60
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6y=24
y=24/6
y=4 12 volt batteries.
10-4=6 6 volt batteries.
Proof:
6*6+4*12=84
36+48=84
84=84
You can put this solution on YOUR website! x=number of 6 volts batteries
y=number of 12 volts batteries
then
then
Answer: there are 6 (6 Volts) batteries and 4 (12 Volts) batteries
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