SOLUTION: Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third

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Question 268817: Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.
:
Let x = voltage of the 1st battery
:
" The voltage of the first battery is twice the voltage of the second", then:
.5x = voltage of the 2nd battery
:
"and 1/3 the voltage of the third battery."which means:
3x = voltage of the third battery
:
Find the actual voltage of each battery.
:
x + .5x + 3x = 54
4.5x = 54
x = 54%2F4.5
x = 12v is the 1st battery
and
.5(12) = 6v is the 2nd battery
and
3(12) = 36v is the 3rd battery
:
:
Check solution: 12 + 6 + 36 = 54