2/5 of the students at kennedy high are girls. there are 1482 boys in the school. how many student are at kennedy high?
0.6x = 1,482
Solve for x
you should use fractions they will make easier.
start by doing
3/5x=1482
and then do
5/3*1482 to get answer
=2470
To find the total number of students at Kennedy High School, we first need to determine the number of girls in the school.
Given that 2/5 of the students at Kennedy High School are girls, we can set up the equation:
2/5 * Total number of students = Number of girls
Let's assume the total number of students at Kennedy High School is represented by "S."
2/5 * S = Number of girls
Since we know there are 1482 boys in the school, the number of girls can be calculated as:
Number of girls = Total number of students - Number of boys
= S - 1482
Now we can substitute this value into the equation:
2/5 * S = S - 1482
To solve for S, we can cross multiply:
5 * (S - 1482) = 2 * S
5S - 7410 = 2S
Now, we isolate the variable to one side of the equation:
5S - 2S = 7410
3S = 7410
Dividing both sides by 3 gives:
S = 7410 / 3
Simplifying the division:
S = 2470
Therefore, there are 2470 students at Kennedy High School.
To solve this problem, we can start by finding the number of boys at Kennedy High School. We are given that there are 1482 boys in the school.
Next, we need to find the ratio of boys to girls in the school. It states that 2/5 of the students at Kennedy High are girls. Since we know the ratio of boys to girls, we can set up an equation:
2/5 + 3/5 = 1
This equation represents the total number of students at Kennedy High School. The numerator, 2, represents the number of girls (2/5 of the total), and the numerator, 3, represents the number of boys (3/5 of the total).
Now, let's plug in the number of boys into this equation:
1482/total + 3/5 = 1
To solve for the total, we need to isolate the variable. We can start by subtracting 3/5 from both sides:
1482/total = 1 - 3/5
To simplify the right side of the equation, we need to find a common denominator:
1 - 3/5 = 5/5 - 3/5 = 2/5
Now, our equation becomes:
1482/total = 2/5
To solve for 'total', we can cross-multiply:
1482 * 5 = 2 * total
Simplifying further:
7410 = 2 * total
Divide both sides by 2:
total = 7410 / 2
total = 3705
Therefore, there are 3705 students at Kennedy High School.