David uses 1/2 cup of apple juice for 1/4 cup of cranberry juice to make a fruit drink. What is the number of cups of apple juice David uses for 1 cup of cranberry juice.
To find the number of cups of apple juice David uses for 1 cup of cranberry juice, we need to set up a ratio.
We know that David uses 1/2 cup of apple juice for 1/4 cup of cranberry juice. Let's create a ratio with these values:
Apple juice : Cranberry juice = 1/2 cup : 1/4 cup
Now, we can simplify this ratio by multiplying both the numerator and denominator by 4 to get rid of the fractions:
Apple juice : Cranberry juice = (1/2 * 4) cups : (1/4 * 4) cups
= 2 cups : 1 cup
Therefore, David uses 2 cups of apple juice for 1 cup of cranberry juice.
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1/(1/4) * 1/2 = 1*4/1 * 1/2 = 2
Cups of apple juice.