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?

Guest Dec 18, 2018

#1**+2 **

Cannot tell ANY of those things without some numbers assigned to the groups.... Sorry !

ElectricPavlov Dec 18, 2018

#3**+2 **

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?

Let Other = O

Let Basketball = B

Let Hockey = H

Let Football = F

So

3O = B

H + 10 = F

B + F = 65

We have 3 equations but 4 variables......therefore, we will have more than one solution

Here's one :

B O F H

30 10 35 25

CPhill Dec 19, 2018

#4**+1 **

Ooops..... I misread the question to be "which of the following are true" rather than "the following statements are true"....

Thanx, Chris !

ElectricPavlov
Dec 19, 2018