SOLUTION: A group of ten 6- and 12- volt batteries are wired in a series shown at the right. The sum of their voltages is 84 volts. How many of each type of battery are used?
Could some
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Question 245036: A group of ten 6- and 12- volt batteries are wired in a series shown at the right. The sum of their voltages is 84 volts. How many of each type of battery are used?
Could someone please explain how to do this problem? I apprieciate the help!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let s = no. of 6 volt batteries
Let t = no. of 12 volt batteries
:
Write an equation for each statement:
:
"A group of ten 6- and 12- volt batteries are wired in a series"
The no. of batteries equation
s + t = 10
Arrange for substitution
s = (10-t)
:
" The sum of their voltages is 84 volts."
the total volts equation
6s + 12t = 84
:
Substitute (10-t) for s in the above equation
6(10-t) + 12t = 84
60 - 6t + 12t = 84
-6t + 12t = 84 - 60
6t = 24
t =
t = 4 ea 12v batteries
:
then
10 - 4 = 6 ea 6v batteries
;
:
Check solution in the total volts equation
6(6) + 4(12) = 84
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