SOLUTION: Going to Austin, Bill caught a ride for two-third of the total distance with a friend. He then took a bus for one-fourth of the total distance. He walked the remaining 10 miles to

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Question 186922: Going to Austin, Bill caught a ride for two-third of the total distance with a friend. He then took a bus for one-fourth of the total distance. He walked the remaining 10 miles to arrive at his destination. What was total distance of his destination?
Answer by josmiceli(6790) About Me  (Show Source):
You can put this solution on YOUR website!
Let the total distance = d
given:
%282%2F3%29%2Ad+%2B+%281%2F4%29%2Ad+%2B+10+=+d
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Multiply both sides by 12
2%2A4%2Ad+%2B+3d+%2B+120+=+12d
11d+%2B+120+=+12d
d+=+120
The total distance is 120 miles
check answer:
%282%2F3%29%2Ad+%2B+%281%2F4%29%2Ad+%2B+10+=+d
%282%2F3%29%2A120+%2B+%281%2F4%29%2A120+%2B+10+=+120
80+%2B+30+%2B+10+=+120
120+=+120
OK