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kogti [31]
3 years ago
9

It takes 1/3 cups of powered punch mix to make 2/3 gallons of punch. If the recipe is for 1 gallon of punch, how much punch is n

eed to make 1/4 the recipe ?
Mathematics
2 answers:
aliya0001 [1]3 years ago
6 0

Answer:

1/8

Step-by-step explanation:

To find the unit rate: multiply the numerator by the reciprocal of the denominator.

unit rate = 1/3/2/3 = \frac{1}{3} × \frac{3}{2} = \frac{3}{6} = \frac{1}{2} cups of punch mix per gallon

Therefore, 1/4 the recipe:  1/2 × 1/4 = 1/8 cups of punch mix

podryga [215]3 years ago
5 0

\dfrac{1}{8}

Step-by-step explanation:

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of powered punch mix cups required to make \frac{2}{3} gallons of punch is \frac{1}{3}

Number of powered punch mix cups required to make \frac{2}{3} gallons of punch is \frac{3}{2}\times\frac{1}{3}=\frac{1}{2}

Since the recipe is for 1 gallon,

\frac{1}{2} powered punch mix cups are required to make the complete recipe.

\frac{1}{4} \times \frac{1}{2} powered punch mix cups are required to make \frac{1}{4} recipe.

So,\frac{1}{8} cups of powered punch mix cups are required to make \frac{1}{4} recipe.

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