This seems to be a problem related to ratios. We are given that, for every 24 kids' movies, there are 32 horror movies. We need to figure out how many horror movies there would be if there were just 3 kids' movies. We can set up an equation using proportions:
We don't know how many horror movies there would be so we can let this quantity equal x. Now, we can cross multiply and solve for our unknown:
. The student's conclusion is incorrect because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (4, 8). B is right option 4x + 2y = 32 5x + 2y = 36 subtracting -x=-4 x=4 4(4)+2y=32 16+2y=32 2y=16 y=8 hope this helps