Question 773185: If you have to mix 1 gallon of water with 1/4 cup of mixing solution, how would you figure out how much you would need if you only use 1 pint of water.
Thank You
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! Suggestion, convert EVERYTHING to gallons first, and then setup your proportion.
1/4 cup for the mixing solution is 1/4 of 8 fluid ounces, and this is 2 fluid ounces. 1 gallon contains 128 fluid ounces.
 
 gallons
The 1 pint of water to make the current desired mixture is  gallon, since 1 pint is gallon.
Ready to make the proportion. Let's try to put the "mixing solution" in the numerator position for one of the ratios. v = volume of mixing solution in gallons.
Direction Ratio: 
Our Mixture Ratio: 
Our Proportion:  _________Remember, gallons was chosen for units. v is in gallons and you may need to convert to other units, like maybe cups or pints or fluid ounces.
SOLVE FOR v.
SIMPLIFYING THE PROPORTION AND SOLVING
 which is one-eighth of a quarter of a cup. Very small. Choosing fluid ounces would be more practical.
A choice of fluid ounces to begin the whole problem solving may be easier than the choice of gallons.
ANOTHER WAY:
If you can see the proportion in your head, then maybe you can start choosing quantities and units earlier than written analysis. Basic recipe says, 1 gallon of water, but your mixture uses 1 pint = 1/8 gallon of water. This means your mixture will be 1/8 of the basic recipe. Now, what is 1/8 of the 1/4 cup? This would be  cup.
With that, you can use the fact, 1 cup = 8 fluid ounces, and then ----
 
 fluid ounce
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