Of a group of students 5/8 of them are boys. The girls are put into groups so that each group has 1/6 of the total number of students. How many groups of girls are there?
Let's say there are x students in total.
Clearly 3/8 of the students are girls.
So, if there are n groups of girls, we have
n(x/6) = (3/8)x
4nx = 9x
4n = 9
I don't see any way to divide the girls evenly.
Did I miss something?
To find the number of groups of girls, we first need to find the total number of students and then determine the number of girls.
Let's say there are a total of x students in the group. We know that 5/8 of them are boys, which means (5/8)x students are boys.
To find the number of girls, we can subtract the number of boys from the total:
Number of girls = Total number of students - Number of boys
Number of girls = x - (5/8)x
Number of girls = (8/8)x - (5/8)x
Number of girls = (3/8)x
Now, we are given that each group of girls has 1/6 of the total number of students. Let's represent the number of groups of girls as g.
Number of girls in each group = (1/6)x
Total number of girls = Number of girls in each group * Number of groups
(3/8)x = (1/6)x * g
To solve for the number of groups (g), we can divide both sides of the equation by (1/6)x:
(3/8)x / (1/6)x = g
Simplifying this expression, we get:
(3/8) / (1/6) = g
(3/8) * (6/1) = g
(3/4) * 3 = g
9/4 = g
Therefore, there are 9/4 or 2.25 groups of girls. Since groups are typically whole numbers, we can round this to the nearest whole number.
Therefore, there are 2 groups of girls.