Question

Bert and Ernie are missing each other and their friend Big Bird. They want to meet at Big Birds nest which is halfway from their apartments. The distance from Berts apartment to Big Birds Nest is (5x+4) miles away while Ernies apartment to Big Birds nest is (15x-30) miles away. How far are Bert and Ernies apartments from Big Birds nest.

Answer 1

21 miles

Explanation:

Each of the distances is the same, so we have ...

5x +4 = 15x -30

34 = 10x

3.4 = x

Then the distances are ...

5(3.4) +4 = 21 . . . . miles

Bert and Ernie each live 21 miles from Big Bird's nest.