Two-thirds of the students at Baker Middle School take music. There are 834 students who take music. How many students are there at Baker Middle School?
I want to find the total number of students at the school, so I will call that x. The problem tells me that two-thirds of x take music, and that is equal to 834. So I can write an equation: (2/3)x = 834 To solve for x, I need to isolate it on one side of the equation. I can do that by multiplying both sides by the reciprocal of 2/3, which is 3/2. This gives me: x = (3/2) * 834 Now I just need to simplify the right-hand side by multiplying the fractions. The numerator is 3 * 834, which is 2502. The denominator is 2 * 1, which is 2. So x = 2502/2, which is 1251. 