Final answer:
To solve this problem, set up an equation based on the given information and solve for the number of girls. Then, substitute the value back into the equation to find the number of boys. The answer is 9 girls and 23 boys.
Step-by-step explanation:
To solve this problem, we can set up an equation based on the given information.
Let's say the number of girls is G. According to the problem, the number of boys is 5 more than 2 times the number of girls, so we can write this as 2G + 5.
We are told that the rocket club is 75% boys, which means that the number of boys is 75% of the total number of students. So we can set up the equation 2G + 5 = 0.75(Total number of students).
We don't know the total number of students, but we have enough information to solve for G. Once we find G, we can substitute it back into the equation to find the number of boys.
Let's solve the equation:
2G + 5 = 0.75(Total number of students)
2G + 5 = 0.75T
2G = 0.75T - 5
G = (0.75T - 5) / 2
G = 0.375T - 2.5
Since G represents the number of girls, it must be a whole number. We can test different values of T until we find a value that makes G a whole number.
For example, if T = 8, then G = 0.375(8) - 2.5 = 0.5. This is not a whole number, so we need to keep trying different values of T.
After testing different values, we find that when T = 32, G = 9. Therefore, there are 9 girls and 23 boys in the rocket club.