Question 899640
A salesperson purchased an automobile that was advertised as averaging 27 mi/gal in the city and 38 mi/gal on the highway. A recent sales trip that covered 1192 miles required 36 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
<pre>
Let amount of miles driven in the city be D
Then amount of miles driven on highway = 1,192 – D
<b><u>Equation to be formed:</u></b>
Miles driven in city, divided by advertised mpg in city, plus miles driven on highway, 
divided by advertised mpg on highway, equals total gallons used. This is:
{{{D/27 + (1192 - D)/38 = 36}}}
38D + 27(1,192 – D) = 36(27)(38) ------ Multiplying by LCD, 27(38)
38D + 32,184 – 27D = 36,936
38D – 27D = 36,936 – 32,184
11D = 4,752
D, or distance driven in the city = {{{4752/11}}}, or {{{highlight_green(highlight_green(432))}}} miles