Question 144948
Let x=miles that A must drive to deliver gas at same price as B's
Then 228-x=miles that B must drive to deliver gas at the same price as A's

Cost of A's gas to the customer = 0.85/gal+0.05x
Cost of B's gas to the customer=0.80/gal+0.05(228-x)
Now we are told that the above costs must be the same, so:

0.85+0.05x=0.80+0.05(228-x) get rid of parens (distributive law)

0.85+0.05x=0.80+11.4-0.05x  add 0.05x to and subtract 0.85 from each side

0.85-0.85+0.05x+0.05x=0.80+11.4-0.85-0.05x+0.05x  collect like terms

0.10x=11.35  divide each side by 0.10
x=113.5 mi-------------------from A's distribution point
0r
228-x=228-113.5=114.5 mi--------------from B's distribution point

CK
0.85+0.05*113.5=0.80+0.05*114.5
0.85+5.675=0.80+5.725
6.525=6.525


Hope this helps----ptaylor