Currently, one-fourth of the members of a local club are boys, and there are 80 members. If no one withdraws from the club, what is the minimum number of boys that would need to join to make the club one-third boys?
there are 20 boys now, so if we add x more, we want
(20+x)/(80+x) = 1/3
Now crank it out
There are currently 20 boys.
20 + x = (80+x)/3
Solve for x.
I got a NS. What is the correct answer
To find the minimum number of boys that would need to join the club in order to make it one-third boys, we need to determine how many boys are currently in the club and how many would be needed to make it one-third of the total members.
We are given that currently, one-fourth of the members are boys, and there are 80 members in total. To find the current number of boys, we can calculate one-fourth of 80:
Number of boys = (1/4) * 80 = 20 boys
Now, let's calculate the total number of members needed for the club to be one-third boys. We know that one-third of the total members should be boys, so:
Total members = 3 * Number of boys
Substituting the number of boys as 20, we can calculate the total members:
Total members = 3 * 20 = 60 members
To find the minimum number of boys that would need to join the club, we need to subtract the current number of boys from the total number of boys needed:
Minimum number of boys needed to join = Total number of boys needed - Current number of boys
Substituting the values, we get:
Minimum number of boys needed to join = 60 - 20 = 40 boys
Therefore, a minimum of 40 boys would need to join the club to make it one-third boys.