Final answer:
To solve the problem, we set up an equation with B representing the number of boys and G representing the number of girls. We discover there are 45 boys and 79 girls in the middle school.
Step-by-step explanation:
The problem can be solved using algebra. Let's denote the number of boys as B and the number of girls as G. According to the given conditions:
- We know that G = B + 34.
- The ratio of boys to girls is given as 1:1, which implies that in a balanced situation, there would be an equal number of boys and girls. However, since there are 34 more girls, to find the total, we should add 34 to the number of boys twice (once to represent the equal number, and once for the extra girls).
So, the total number of students is B + B + 34. To find the number of boys, we plug the information back into the ratio, getting:
- 1(B) = 1(B + 34 - 34), which simplifies to B = 79 - 34 = 45.
- The number of girls is therefore 45 + 34 = 79.
The answer to how many boys are at the middle school is 45 boys.