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Algebra Difficulty 1.7 Junior Find the answer

The third exit on a highway is located at milepost 40 and the tenth exit is at milepost 160. There is a service center on the highway located three-fourths of the way from the third exit to the tenth exit. At what milepost would you expect to find this service center?

Pick one

Solution

There are 16040=120160-40=120 miles between the third and tenth exits, so the service center is at milepost 40+(3/4)(120)=40+90=(E) 13040+(3/4)(120) = 40+90=\boxed{\text{(E)}\ 130}.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.