SOLUTION: 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?

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Question 1036444: 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?
Found 2 solutions by Aldorozos, MathTherapy:
Answer by Aldorozos(172) About Me  (Show Source):
You can put this solution on YOUR website!
Most likely you meant 1/4 of the distance and 3/8 of the distance
1/4 of d + 12
3/8 of d + 9
we add 1/4 and 3/8 of the distance and we get 5/8 of the distance. If he biked 5/8 of the distance and also biked 12 additional and 9 additional miles to cover the rest of the distance this means that the rest of the distance which is 8/8 - 5/8 = 3/8 is equivalent to 9+12 = 21
3/8 * d = 21. d=21*8 divided by 3 = 7*8 = 56

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

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?
Let total distance be D
based on the info., we get: %281%2F4%29D+%2B+12+%2B+%283%2F8%29D+%2B+9+=+D
D%2F4+%2B+12+%2B+3D%2F8+%2B+9+=+D
2D + 96 + 3D + 72 = 8D ------- Multiplying by LCD, 8
2D + 3D + 168 = 8D
5D - 8D = - 168
- 3D = - 168
D, or distance = %28-+168%29%2F%28-+3%29 = highlight_green%28matrix%281%2C2%2C+56%2C+miles%29%29