? HELP ?? Salesperson purchased car averaging 27 mi/gal ciry 38 mi/gal highway. Recent trip 1654 miles required 47 gallons. How many miles driven were city miles?

Question

anonymous · Answer

if $x$ miles were city, then $1654-x$ miles were highway

anonymous · Answer

then you have $\frac{x}{27}$ gallons were used in the city and $\frac{1654-x}{38}$gallons were used on the highway

anonymous · Answer

the total number of gallons used was 
$$\frac{x}{27}+\frac{1654-x}{38}=47$$ solve for $x$

anonymous · Answer

if you don't want to do the algebra to solve for $x$ you can cheat

anonymous · Answer

im confused

anonymous · Answer

me too

anonymous · Answer

there's alot of information and im trying to find the miles for the city

anonymous · Answer

did you understand the equation i wrote?

anonymous · Answer

no

anonymous · Answer

ok the total number of miles driven is $1654$ right?

anonymous · Answer

yeah

anonymous · Answer

so if you drive 600 miles in the city, what is left for the highway miles?

anonymous · Answer

how did you get 600 miles

anonymous · Answer

i made it up
it is not the answer, i am just asking
if the total is 1654 and you drive 600 city, what is left for highway?

anonymous · Answer

1054

anonymous · Answer

do i find a common denominator or just multiply the denominators to 47

anonymous · Answer

ok so 1054 looks good
suppose you drive $x$ miles in the city, what is the highway miles?

anonymous · Answer

idk

anonymous · Answer

you answer has to have an $x$ in it
if you drive $x$ miles in the city, then you drive $1654-x$ miles on the highway

anonymous · Answer

ok
i have x/27 + 1654/38 =47 and thats as ar as ive gotten do i mutiply the denominators to 47

anonymous · Answer

hello