SOLUTION: an outboard motor calls for a fuel mixture of gasoline and oil to be 50 to 1. That is, 50 parts of gasoline to 1 part of oil. How many pints of oil should be added to 6 gallons of

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: an outboard motor calls for a fuel mixture of gasoline and oil to be 50 to 1. That is, 50 parts of gasoline to 1 part of oil. How many pints of oil should be added to 6 gallons of       Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 110117: an outboard motor calls for a fuel mixture of gasoline and oil to be 50 to 1. That is, 50 parts of gasoline to 1 part of oil. How many pints of oil should be added to 6 gallons of gasoline?Found 2 solutions by stanbon, bucky:Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!an outboard motor calls for a fuel mixture of gasoline and oil to be 50 to 1. That is, 50 parts of gasoline to 1 part of oil. How many pints of oil should be added to 6 gallons of gasoline? ------------------------------- Proportion: x/6 = 1/50 x = 6/50 x = (3/25)pt. =================== Cheers, Stan H. Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!You can work this problem as a proportion, but you have to be careful of the units. . First you are told that the ratio you want to have is 50 parts of gasoline to 1 part of oil. . This ratio is 50:1 or in fractional form . . Next you can recognize that the gasoline is on top of this fraction and the oil is in the denominator. Therefore, the next ratio is 6 gallons of gasoline to an unknown amount of oil. Call this unknown amount of oil x. The proportion then becomes: . . The right side simplifies to just 50 ... 1 into 50 equals 50 ... and the proportion becomes: . . Next you can get rid of the denominator on the right side by multiplying both sides of this proportion by x. When you do the proportion is simplified to just an equation: . . Now keep in mind that the 6 on the right side is in units of gallons. How many pints are there in 6 gallons? There are 2 pints in a quart and 4 quarts in a gallon. Therefore, each gallon contains 2*4 = 8 pints. And since there are 6 total gallons at 8 pints per gallon there are a total of 6*8 = 48 pints in 6 gallons. . Switch from gallons to pints by replacing the 6 gallons with 48 pints, making the equation become: . . Solve for x (which is the number of pints of oil to be added to 6 gallons of gas to give a 50 to 1 gas to oil mix) by dividing both sides of the equation by 50 to get: . . So the answer is that for a 50 to 1 mix, you add 0.96 pints of oil to 6 gallons of gas. . Hope this helps you to understand the problem and how it can be solved by using a proportion. .