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MATH / The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and …

Problem

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problem

The circle graph below represents the opinions of 100100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph: •\bullet The number of students who chose Basketball is three times the number of students who chose Other. •\bullet Ten more students chose Football than chose Hockey. •\bullet The percent of students who chose Basketball plus the percent of students who chose Football equal 65%.65\%. What percent of the students chose Basketball? [asy] draw(circle((0,0),1),linewidth(2)); draw((0,0)--(0,1),linewidth(2)); draw((0,0)--dir(-35),linewidth(2)); draw((0,0)--dir(137),linewidth(2)); draw((0,0)--dir(-115),linewidth(2)); label("Other",1.2*dir(100)); label("Football",1.5*dir(10)); label("Hockey",1.2*dir(-80)); label("Basketball",1.6*dir(180)); label("Favorite Sports of 100 Students",(0,1.5)); [/asy]
Plain-text mathematical notation (without MathML)
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:

•  The number of students who chose Basketball is three times the number of students who chose Other.

•  Ten more students chose Football than chose Hockey.

•  The percent of students who chose Basketball plus the percent of students who chose Football equal 65%.

What percent of the students chose Basketball?

[asy]
draw(circle((0,0),1),linewidth(2));
draw((0,0)--(0,1),linewidth(2));
draw((0,0)--dir(-35),linewidth(2));
draw((0,0)--dir(137),linewidth(2));
draw((0,0)--dir(-115),linewidth(2));

label("Other",1.2*dir(100));
label("Football",1.5*dir(10));
label("Hockey",1.2*dir(-80));
label("Basketball",1.6*dir(180));

label("Favorite Sports of 100 Students",(0,1.5));
[/asy]
Original LaTeX notation
The circle graph below represents the opinions of $100$ students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:

$\bullet$  The number of students who chose Basketball is three times the number of students who chose Other.

$\bullet$  Ten more students chose Football than chose Hockey.

$\bullet$  The percent of students who chose Basketball plus the percent of students who chose Football equal $65\%.$

What percent of the students chose Basketball?

[asy]
draw(circle((0,0),1),linewidth(2));
draw((0,0)--(0,1),linewidth(2));
draw((0,0)--dir(-35),linewidth(2));
draw((0,0)--dir(137),linewidth(2));
draw((0,0)--dir(-115),linewidth(2));

label("Other",1.2*dir(100));
label("Football",1.5*dir(10));
label("Hockey",1.2*dir(-80));
label("Basketball",1.6*dir(180));

label("Favorite Sports of 100 Students",(0,1.5));
[/asy]

level

Level 5

type

Prealgebra

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Source and history

task_id
b8aba4c6-df21-5c69-8158-d8f159338d40
task_key
prealgebra--test--b8aba4c6-df21-5c69-8158-d8f159338d40
task_revision_id
1
config / split
prealgebra / test

Official source

initial import