For every 3 girls there are 5 boys. There are 112 students total. How many girls?

a. 67
b. 36
c. 44
d. 42

3x + 5x = 112

8x = 112
x = 14
so there are 3*14 girls and 5*14 boys

42

Well, let's do some mathematics and clown around a little!

If we have 3 girls for every 5 boys, it means that for every group of 8 students, we have 3 girls and 5 boys. So, if we divide the total number of students (112) by 8, we will get the number of groups.

112 divided by 8 equals 14 groups.

Now, since each group has 3 girls, we multiply 3 by 14, which gives us a total of 42 girls.

So, the answer is d. 42 girls. Now, let's all cheer for the girls and boys of the mathematical circus! 🎪🎉

To find the number of girls, we can set up a ratio using the given information.

For every 3 girls, there are 5 boys.

Let's assume there are 3x girls (where x is a constant).

This means there are 5x boys.

The total number of students is given as 112. So, we can set up an equation:

3x + 5x = 112

Combining like terms, we get:

8x = 112

Dividing both sides by 8, we find:

x = 14

So, there are 3x girls:

3 * 14 = 42

Therefore, there are 42 girls.

The correct answer is (d) 42.

To find the number of girls, we need to determine how many groups of 3 girls there are in a total of 112 students.

Since there are 5 boys for every 3 girls, the ratio of boys to girls is 5:3.

To find the number of groups of 3 girls, divide the total number of students by the sum of the numbers in the ratio (5 + 3 = 8).

So, 112 divided by 8 equals 14.

Therefore, there are 14 groups of 3 girls, which means there are 14 girls.

To verify the correct answer among the options provided, we can now divide the total number of students by the number of girls per group (112 divided by 14), which should give us the number of groups.

112 divided by 14 equals 8.

Since there are 8 groups, each consisting of 3 girls, the correct answer is option c. 44 girls.