SOLUTION: Please help me solve this word problem: If a boat uses 19 gallons of gas to go 73 miles, how many miles can the boat travel on 57 gallons of gas?

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Question 132772: Please help me solve this word problem:
If a boat uses 19 gallons of gas to go 73 miles, how many miles can the boat travel on 57 gallons of gas?

Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The quick answer is just divide 19 into 57 and multiply the result times 73. But I have a sense that you need a more in depth explanation.

Let's say you have 57 gallons to start. After you have traveled 73 miles, you will have used 19 gallons of your gasoline. So the situation is that you are 73 miles from your starting point and you now have 57+-19+=38 gallons of gas left. After you have traveled an additional 73 miles, the situation will be that you are 73%2B73=146 miles from your starting point and you will have 38-19=19 gallons of gas left. One more 73 mile leg and you will be 146+%2B+73=219 miles from your starting point and will have 19+-+19+=+0 gallons of gas left. You subtracted 19 from 57 three times and got a result of 0, which is the same as 57%2F19=3, and you added 73%2B73%2B73=219 which is the same as 3%2A73=219

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If a boat uses 19 gallons of gas to go 73 miles, how many miles can the boat travel on 57 gallons of gas?
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EQUATION:
x/57 = 73/19
x = 57[71/19]
x = 213
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Cheers,
Stan H.