Question

Dema's truck gets 32 mpg on the highway and 18 mpg in the city. The amount of gas he uses A (in gal) is given by A=118c+132h, where c is the number of city miles driven and h is the number of highway miles driven. If Dema drove 45 mi in the city and used 8 gal of gas, how many highway miles did he drive?

Answer 1

We conclude that he drove 176 miles on the highway

how many highway miles did he drive?

Here we have the equation:

A = (1/18)*c + (1/32)*h

Where A is the consumption in gallons of gas, c is the number of miles driven in the city and h is the number of miles driven in the highway.

Here we know that:

A = 8 gallons of gas.

c = 45 miles

Replacing that in the above equation, we can find the value of h.

8 =  (1/18)*45 + (1/32)*h

8 - (1/18)*45 = (1/32)*h

32*(8 - (1/18)*45) = h = 176

We conclude that he drove 176 miles on the highway

if you want to learn more about linear equations:

brainly.com/question/1884491

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