The ratio of boys to girls in the checkers club at one school is 2:3. the number of club members is more than 20 and fewer than 30. how many club members are there?
We have a problem with an integer solution.
Use proportion/ratios,
2 boys to 3 girls means
2 boys to 5 total number of members.
2:5 = 4:10 = 6:15 ....
try until the total number of members x is 20<x<30.
10
To find out the total number of club members, we need to determine the actual ratio values and then calculate the total.
Given that the ratio of boys to girls is 2:3, we can represent this as 2x:3x, where x is the common ratio multiplier.
Since the total number of club members is more than 20 and fewer than 30, we need to find a value of x that satisfies these conditions.
Let's evaluate the total number of members for different values of x:
If x = 5, then the number of boys is 2 * 5 = 10, and the number of girls is 3 * 5 = 15. The total number of members would be 10 + 15 = 25.
If x = 6, then the number of boys is 2 * 6 = 12, and the number of girls is 3 * 6 = 18. The total number of members would be 12 + 18 = 30.
Since the number of club members needs to be more than 20 and fewer than 30, the only value of x that satisfies this condition is x = 5.
Therefore, the number of club members is 25.