40 learners are going on a tour,the ratio of the number of boys to the number of girls is 3:2 how many boys are there in the group?
Three out of every five are boys.
3/5 = x/40
multiply both sides by 40
8 * 3 = x
x = 24
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check
that means 40 - 24 = 16 are girls
24/16 = 12/8 = 3/2 sure enough
To find the number of boys in the group, we need to use the given ratio.
The ratio of boys to girls is 3:2, which means for every 3 boys, there are 2 girls.
We can set up a proportion to find the number of boys.
Let's assume the number of girls is "x."
Since the ratio of boys to girls is 3:2, the number of boys would be (3/2) times the number of girls.
So, the number of boys would be (3/2) * x.
Since we know that there are 40 learners in total, we can set up the equation:
x + (3/2) * x = 40
Now, let's solve for x.
Multiplying both sides by 2 to eliminate the fraction, we get:
2x + 3x = 80
Combining like terms, we have:
5x = 80
Dividing both sides by 5, we find:
x = 16
So, there are 16 girls in the group.
Now, to find the number of boys, we can substitute x back into the original equation:
Number of boys = (3/2) * x = (3/2) * 16 = 24
Therefore, there are 24 boys in the group of 40 learners.