Final answer:
To find the number of boys in a classroom with a ratio of girls to boys of 4 to 3 and a total of 28 students, you set up a proportion and solve for x, concluding there are 12 boys in the class.
Step-by-step explanation:
The student is asking to solve a proportion to determine the number of boys in a classroom where the ratio of girls to boys is 4 to 3, and there are a total of 28 students. First, we need to set up the ratio as a proportion:
Let x be the number of boys in the classroom. The number of girls would then be 28 - x, because the total number of students is 28.
The ratio of girls to boys is 4 to 3, which means:
(28 - x) / x = 4 / 3
Now we can solve for x by cross-multiplying:
3(28 - x) = 4x
84 - 3x = 4x
84 = 7x
x = 12
There are 12 boys in the classroom.