Question

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?

$90$

$100$

$110$

$120$

$130$

Answer: E

Concepts:fraction

Difficulty rating: 900

Solution:

There are $160 - 40 = 120$ miles between the third and tenth exits.

This means $\frac{3}{4}$ of the way is at the $40 + \dfrac{3}{4} \cdot 120 = 130$ milepost.

Thus, E is the correct answer.

1999 AMC 8 Problem 7

Answer: E

Difficulty rating: 900

Solution:

Problem 7 in Other Years