SOLUTION: In driving from Appleton to Dunmore, you must first pass through Bayside and then pass through Centerville. It is 10 miles farther from Appleton to Bayside than from Bayside to Ce

Question 256862: In driving from Appleton to Dunmore, you must first pass through Bayside and then pass through Centerville. It is 10 miles farther from Appleton to Bayside than from Bayside to Centerville and 10 miles farther from Bayside to Centerville than from Centerville to Dunmore. If if is 390 miles from Appleton to Dunmore, how far is it from Appleton to Bayside?
Found 2 solutions by richwmiller, Stitch:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a->b->c->d
b-a=c-b+10
c-b=d-c+10
d-a=390
a->b=140 140 miles from Appleton to Bayside
b->c=130
c->d=120
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Let X = Distance from Appleton to Bayside
Let Y = Distance from Bayside to Cenetville
Let Z = Distance from Centerville to Dunmore
Let W = Distance from Appleton to Dunmore
------------
Given:
W = 390
Equation 1:
Equation 2:
Equation 3:
------------
Solution:
Plug (Y-10) into equation 3 for X and plug (Y + 10) into equation 3 for Z.

Combine like terms

Divide both sides by 3

To find X, plug 130 into equation 1 for Y
Equation 1:

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