In a middle school 5th grade class there are 5 girls for every 4 boys. all together the class has 27 students. How many boys are in the class?

4/9 = b/27

9b = 108

b = 12

12 4/9=b/27

9b=108
108/9=
12 boys

To determine the number of boys in the class, we first need to find the ratio between girls and boys. Given that there are 5 girls for every 4 boys, the total ratio of girls to boys is 5:4.

Next, we can represent the number of students in terms of this ratio. Let's assume the total number of students is x. According to the given information, there are 5/9 (5 girls out of 9 total parts) * x girls and 4/9 (4 boys out of 9 total parts) * x boys in the class.

Since the total number of students is given as 27, we can set up the equation:
(5/9)x + (4/9)x = 27

To solve this equation, we first simplify by finding a common denominator:
(5x + 4x) / 9 = 27

Combining like terms:
9x / 9 = 27

We can then solve for x by multiplying both sides of the equation by 9:
9x = 27 * 9

Simplifying the right side:
9x = 243

Finally, solve for x by dividing both sides of the equation by 9:
x = 27

So, there are 27 students in the class. To find the number of boys, we can substitute x back into the equation:
(4/9) * 27 = 12

Therefore, there are 12 boys in the class.