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slamgirl [31]
3 years ago
11

To make lemonade, i use a ratio of $7$ parts water to $1$ part lemon juice. if i want to make a gallon of lemonade, and there ar

e four quarts in a gallon, how many quarts of water do i need? write your answer as a proper or improper fraction.
Mathematics
2 answers:
In-s [12.5K]3 years ago
7 0

Answer:

<h2>3.5 gallons of water.</h2>

Step-by-step explanation:

According to the problem, water and lemon have the ratio 7:1, 7 parts of water per 1 part of lemon.

Also, we know that one gallon have four quarts, and we want to make 1 gallon of lemonade. So, the amount of water would be x, because the question is about water, and the amount of lemonade would be 4 \ quarts - x, because it would be the difference between the total 4 quarts (1 gallon) and the amount of water.

Now, using the ratios, we have:

\frac{7 \ water}{1 \ lemon}=\frac{x \ water}{4 - x \ lemon} \\28-7x=x\\7x+x=28\\8x=28\\x=\frac{28}{8}=3.5

Therefore, the amount of water needed is 3.5 gallons, and 0.5 gallons of lemon.

Fed [463]3 years ago
6 0
In order to solve this problem, we need our knowledge on ratio and proportion for us to set up an equation. <span>A </span>proportion<span> is an equation with a </span>ratio<span> on each side. It is a statement that two </span>ratios<span> are equal. </span>We do as follows:

7 parts water / 1 part lemon = 4 quarts - x / x

where x is the quarts lemon needed

Solving for x,

x = 0.5
water needed = 4-x = 3.5 quarts water is needed


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