Sam has already biked 1/4 of all the distance and 12 miles, and he still needs to bike 3/8 of the total distance and 9 miles. What’s the total distance?

Answer 1

The total distance is the sum of the distance Sam has already biked plus the distance he still must cover.

Let D be the total distance. Then:

D = the distance already biked (1/4 x D + 12) plus the distance still to go (3/8 x D + 9).

D = (1/4)D + 12 + (3/8)D + 9

D - (1/4)D - (3/8)D = 12 + 9

(8/8)D - (2/8)D - (3/8)D = 21

(3/8)D = 21

I'll leave it to you to solve for D.

Answer 2

(1/4)d + 12 + (3/8)d + 9 = d

Can you solve for d and answer?