MATHEMATICS MIDDLE SCHOOL

You are making 8 cups of fruit punch for a party. You have bottles of 75% fruit juice and 25% fruit juice. How many cups of each type of juice should you mix together to make 8 cups of 50% fruit juice?How many cups of 75% fruit juice?

How many cups of 25% fruit juice?

Answers

Answer 1

Answer:

Answer:

4 cups of 75% fruit juice and 4 cups of 25% fruit juice should be mixed.

Step-by-step explanation:

Suppose, the amount of 75% fruit juice is $x$ cups.

As the total amount of fruit punch is 8 cups, so the amount of 25% juice will be: $(8-x)$ cups.

Given that, the percentage of juice in 8 cups fruit punch is 50%

So, the equation will be.........

$0.75x+0.25(8-x)= 0.50(8)\n \n 0.75x+2-0.25x= 4\n \n 0.50x+2=4\n \n 0.50x= 2\n \n x=(2)/(0.50)=4$

Thus, the amount of 75% fruit juice is 4 cups

and the amount of 25% fruit juice is (8-4)= 4 cups.

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Step-by-step explanation:

I hope this is correct if it is incorrect then feel free to critique me. I'm sorry in advance if it is wrong.

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What is the prime factorization of 65

Answers

Answer:

Prime factorization of 65 is $5 * 13$

Solution:

Need to find the prime factorization of 65.

Prime factorization is finding all the prime factors of 65.

Method is to take prime number one by one . check whether the given number is divisible by the prime number till you get all the prime factors of given number.

In our case number is 65 . since given number 65 is not divisible by first two prime number that are 2 and 3 , divide 65 by third prime number = 5

$(65)/(5) = 13$

That means 65 = $5 * 13$

Now if you see, both factors that are 5 and 13 are prime numbers.

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There are 150 trees in the park. Mark noticed that 120 of them are maple trees. What percent of the trees are maple?

Answers

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Jan,Mya, and sara ran a total of 64 miles last week. Jan and Mya ran the same number of miles. Sarah ran 8 less miles than Maya. How many miles did Sarah run?

Answers

Jan, Maya and Sarah run a total of 64 miles per week
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=> 72 = 3x
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