Algebra II. Help

Question

POC has 33 more students than Algebra. If each class adds 4 more students, the ratio of POC to Algebra will be 5 to 2. How many students are in each class?

Answer 1

Let x be the number of students in Algebra. POC has 33 more students, so it has x + 33 students. If each class adds 4 new students, then Algebra has x + 4 and POC has x + 33 + 4 = x + 37. The ratio POC/Algebra is 5/2:

POC/Algebra = (x+37)/((x+4) = 5/2

Cross multiply:

2(x+37) = 5(x+4)

Solve for x.