SOLUTION: 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

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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