Kayla0124
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ILL GIVE BRAINLY 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

Respuesta :

LadyStrange

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 :-

[tex]x + 3x - 17 = 487[/tex]

[tex]4x - 17 = 487[/tex]

[tex]4x = 487 + 17[/tex]

[tex]4x = 504[/tex]

[tex]x = \frac{504}{4} [/tex]

[tex] x= 126[/tex]

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

[tex] = 3x - 17[/tex]

[tex] = 3 \times 126\: - 17[/tex]

[tex] = 378 - 17[/tex]

[tex] = 361[/tex]

361 students listed soccer as their favorite sport .

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

[tex] = 126[/tex]

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