Parkview Middle School has 3 boys to every 4 girls. Cypress Elementary School has 3 boys to every 7 total students. Both schools have 567 students. Which of the following statements is true.

a. Parkview has more boys than Cypress.
b. Cypress and Parkview have the same amount of boys.
c. Cypress has more boys than Parkview.
d. You cannot tell with the current information which school has more boys.

My Answer:
So I already know this much
Parkview Middle School
B/G
3:4 or 3/4

Cypress Elementary School
B/G
3:7 or 3/7

The part where I am getting confused is where they throw in that both schools have 567 students

I did for Parkview Middle school since I know
3x:4x=
7x=567
x=81 boys and girls

but then I get stuck

I did Cypress Elementary school I know
3x:7x=
10x=567
x=56.7
then I am stuck

Can you please help me

I think my final answer would be A

I think my answer is A because then I did the following:

81x3boys=243 boys for Parkview Middle
56.7x3 boys for Cypress Elementary=168 boys

Please check this problem and let me know if I did it correct or if did something wrong.

b/g = 3/4

now 3 boys/7 girls is again 3 boys/4 girls
the schools have the same number of girls, boys and totals.

b/g = 3/4

now 3 boys/7 total is again 3 boys/4 girls
the schools have the same number of girls, boys and totals.

How did you figure that out?

Can you please walk me through the steps on this on how you arrived at that answer.

Sure! I can help you solve this problem step by step.

First, let's start with Parkview Middle School. We know that there are 3 boys for every 4 girls. So, let's call the number of boys "3x" and the number of girls "4x".

Now, we are given that the total number of students in Parkview Middle School is 567. Therefore, the equation becomes:

3x + 4x = 567

Combining like terms, we get:

7x = 567

To find the value of x, divide both sides of the equation by 7:

x = 567 ÷ 7
x = 81

Now, substitute this value back into the expressions for boys and girls:

Number of boys = 3x = 3(81) = 243
Number of girls = 4x = 4(81) = 324

So, Parkview Middle School has 243 boys and 324 girls.

Now, let's move on to Cypress Elementary School. We are given that there are 3 boys for every 7 total students. So, let's call the total number of students "7x" and the number of boys "3x".

Again, we know that the total number of students in Cypress Elementary School is 567. Therefore, the equation becomes:

7x = 567

Divide both sides of the equation by 7:

x = 567 ÷ 7
x = 81

Now, substitute this value back into the expression for boys:

Number of boys = 3x = 3(81) = 243

So, Cypress Elementary School also has 243 boys.

Therefore, the correct statement is:

b. Cypress and Parkview have the same amount of boys.

I hope this helps! Let me know if you have any further questions.