ILL GIVE THING Englewood High School surveyed its student population about their favorite sports. The 487 students who listed soccer as their favorite sport represented 17 fewer students than three times the number of students who listed basketball as their favorite sport. The basketball coach wants to know how many students listed basketball as their favorite sport. How many students listed basketball as their favorite sport?

Write an equation and solve

Let the number of students who listed basketball as their favorite sport be x .

Then number of students who listed soccer as their favorite sport = 3x - 17

Let us use the following equation to find the number of students who listed basketball as their favorite sport :-

Number of students who listed soccer as their favorite sport :-

361 students listed soccer as their favorite sport .

Number of students who listed basketball as their favorite sport :-

Therefore , 126 students listed basketball as their favorite sport in Englewood High School .

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.