Question

the instructions on a can of powdered drink mix say to 1/4 cup of the mix with 2 quarts of water. How much of the mix should be used with 1/2 gallons of water? a)1/2 b)3/4 c)1/4 d) 2/3

Answer 1

Given:

The instructions on a can of powdered drink mix say to 1/4 cup of the mix with 2 quarts of water. How much of the mix should be used with 1/2 gallons of water?

To find:

How much of the mix should be used with 1/2 gallons of water?

Solution:

It is given that we need 2 quarts of water for $\frac{1}{4}$th cup of the mix

Here we have to find the cups of mix required with half the gallons of water, so for this, firstly, we will convert 2 quarts into gallons.

We know,

$\boxed{\bold{1 \:quart = \frac{1}{4}\:gallon }}$

∴ $2 \:quarts = 2 \times \frac{1}{4} \:gallons = \frac{1}{2} \:gallons$

So, we can say that

For 2 quarts which is  $\frac{1}{2} \:gallons$ of water, we need $\frac{1}{4}$th cup of the mix

Thus, option (c) → $\underline{\bold{\frac{1}{4} \:cup}}$ of the mix should be used with 1/2 gallons of water.

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