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

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(75887) (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.
.
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