Question 245036
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 = {{{24/6}}}
t = 4 ea 12v batteries
:
then
10 - 4 = 6 ea 6v batteries
;
:
Check solution in the total volts equation
6(6) + 4(12) = 84