Final answer:
To find the number of boys and girls, set up a system of equations and solve for x and y. The correct answer is b. 34, 16.
Step-by-step explanation:
To find the number of boys and girls, we can set up a system of equations based on the given information.
Let x be the number of boys and y be the number of girls.
From the given information, we can set up two equations:
x + y = 50 (equation 1)
0.90x + 0.65y = 41 (equation 2)
Multiplying equation 1 by 0.90, we get 0.90x + 0.90y = 45.
Subtracting equation 2 from this new equation, we get:
0.90y - 0.65y = 45 - 41
0.25y = 4
y = 4/0.25
y = 16
Substituting the value of y in equation 1, we get:
x + 16 = 50
x = 50 - 16
x = 34
Therefore, the number of boys is 34 and the number of girls is 16.