According to Mrs. Cooper's class survey, 4 out of 7 students own a pool. The difference between the number of students that own a pool and those who don't is 7. How many students participated in the survey?
If x students own a pool, then
(x+7)/x = 4/3
find x, and then x+(x+7)
sorry. I meant
If x students do not own a pool, then ...
To determine the number of students who participated in the survey, we can use algebra. Let's assume the total number of students is 'x'. We are given that 4 out of 7 students own a pool, so the number of students who own a pool is (4/7) * x.
According to the given information, the difference between the number of students who own a pool and those who don't is 7. So we can set up the equation: (4/7) * x - (x - (4/7) * x) = 7.
Simplifying the equation: (4/7) * x - x + (4/7) * x = 7.
Combining like terms: (8/7) * x - x = 7.
Multiplying both sides by 7 to eliminate the fraction: 8 * x - 7 * x = 7 * 7.
Simplifying: x = 49.
Therefore, there were 49 students who participated in Mrs. Cooper's class survey.