The ratio od boys to girls in the checkers club at Anastasia's school is equal to 2:3. The number od club memers is more than 20 and fewer than 30. How many club members are there?
My answer is 10 members.
Is my answer correct? If not can you show me what I did wrong?
The answer is 25.
No. Your problem states that there are more than 20 and less than 30 club members.
It states that it is more than 20 and fewer than 30. How do you solve this problem?
It must be some multiple of 5 between 20 and 30. What could that be?
To determine the number of club members, let's first calculate the ratio of boys to girls in the checkers club, which is 2:3.
Let's assume that the number of boys is represented by "2x" and the number of girls is represented by "3x," where "x" is a common factor.
Therefore, the total number of club members can be calculated by adding the number of boys and girls:
Total Number of Club Members = Number of Boys + Number of Girls
Substituting the values, we have:
Total Number of Club Members = 2x + 3x
Now, the problem states that the number of club members is more than 20 and fewer than 30. So, let's set up an inequality:
20 < Total Number of Club Members < 30
Substituting the equation for the total number of club members, we have:
20 < 2x + 3x < 30
Combine the like terms:
20 < 5x < 30
Now, solve for "x" by dividing all sides of the inequality by 5:
20/5 < x < 30/5
4 < x < 6
Since "x" represents a common factor, it must be a whole number. Therefore, the value of "x" can only be 5.
Now, substitute the value of "x" back into the equation to find the total number of club members:
Total Number of Club Members = 2x + 3x
Total Number of Club Members = 2(5) + 3(5)
Total Number of Club Members = 10 + 15
Total Number of Club Members = 25
Therefore, the correct answer is 25 club members, not 10 members.