a recent survey was conducted on 6 grade students. Of those surveyed, 180 of the students prefered basketball over football. if the 180 students was 5/8 of the total students surveyed, how many total students were surveyed? write an equation to model this situation and then solve
180 = 5/8 x
To solve this problem, we can set up an equation based on the information given and then solve for the unknown variable. Let's call the total number of students surveyed "x".
According to the problem, 180 students preferred basketball, which is 5/8 of the total number of students surveyed.
So we can set up the equation:
5/8 * x = 180
To solve for x, we will multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:
(5/8 * x) * (8/5) = 180 * (8/5)
This simplifies to:
x = 180 * (8/5)
Now, we can find the value of x by performing the calculation on the right side of the equation:
x = 288
Therefore, the total number of students surveyed is 288.