The gas gauge rads 1/8 full, when 13 gallons are added the gauge reads 2/3 full how many more gallons are needed to fill the tank?
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OpenStudy (ash2326):
Let the gas in the tank be x gallons, let the tanks capacity be y
for this the gas gauge reads 1/8, so it's y/8 gallons
therefore we have
\[x=\frac y 8\]
do you get this part?
OpenStudy (anonymous):
yes
OpenStudy (ash2326):
now we add 13 gallons to it
so how much fuel is the tank now?
OpenStudy (ash2326):
*in
OpenStudy (ash2326):
@marleyjoe ?
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OpenStudy (anonymous):
trying
OpenStudy (ash2326):
take your time, we already have x gallons, we add 13 liters to it
How much gallons of fuel we have now?
OpenStudy (anonymous):
1 5/8
OpenStudy (ash2326):
we have x+13 gallons
OpenStudy (anonymous):
yes I am not sure how to determine what x is
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OpenStudy (ash2326):
now the gas gauge reads 2/3, so it has 2y/3 gallons
so we have
\[x+13=\frac {2}{3}y\]
and we found earlier
\[x=\frac 1 8 y\]
could you find x and y now?