A high school has 900 students, 40% of whom are drama majors. A second high school has a 75% drama majors population. The school board plans to merge the two schools into a Performing Arts magnet school that will then have a 52.5% drama majors student body. How many students are at the second school?

Solution A is 30% acid and solution B is 60% acid. How many gallons of each solution must be used to create a 60 gallon mixute that is 50% acid. I have to set this up as a system of equations, and I thought one system was x + y = 60, but I can't get an answer, please help

If you piggy back one question on another you are unlikely to get an answer, because it looks as though the question has been answered. You should show you question as a new problem.

0.4(900)+0.75x = 0.525(900+x)

360 + 0.75x = 472.5 + 0.525x
0.75x - 0.525x = 472.5 - 360
0.225x = 112.5
0.225x/0.225 = 112.5/0.225
x = 500

Use the excerpt from Albert Beveridge's "The March of the Flag Speech," 1898 to answer the question.

Which of the following best describes Beveridge's main argument in support of U.S imperialism? Explain
A. the lack of resources available to foreign businessmen
B. the discovery of new flora and fauna of academic interest
C. the inability of locals to govern or protect themselves
D. the inefficient political systems governing the countries he describes

C. The inability of locals to govern or protect themselves. In his speech, Beveridge argued that it was the duty of the United States to help people in other parts of the world who were unable to govern themselves effectively and protect themselves from harm. He believed that the United States had a responsibility to bring its system of government and values to other parts of the world, particularly those that were seen as "backward" or "uncivilized."

To solve this problem, we can use the concept of percentages and proportions. Let's start by finding the number of drama major students in the first high school.

The number of students in the first high school is given as 900, and 40% of them are drama majors. To calculate this, we multiply the total number of students by the percentage of drama majors:

Number of drama major students in the first high school = 900 * 40% = 900 * 0.4 = 360 students

Now, let's solve for the number of students in the second high school.

Let's assume the number of students in the second high school is x. Since 75% of them are drama majors, we can write the equation:

Number of drama major students in the second high school = x * 75% = x * 0.75

Now, let's focus on the merged Performing Arts magnet school. The goal is to have a student body with 52.5% drama majors.

First, let's calculate the total number of drama major students in the merged school:

Total number of drama major students in the merged school = 360 students (from the first high school) + x * 0.75 students (from the second high school)

Since the drama major students in the merged school will make up 52.5% of the total student body, we can write the equation as:

(360 + x * 0.75) = 52.5% of the total number of students in the merged school

To find the total number of students in the merged school, we divide the equation by 0.525 (which is 52.5% written as a decimal):

(360 + x * 0.75) / 0.525 = Total number of students in the merged school

Simplifying this equation will give us the answer.

Let x = # students at second h.s.

=======================
0.4(900) + 0.75x = 0.525(900+x)
solve for x.