Question

The music teacher asked his class to vote for their favorite instrument and created a pie chart to display the results. There are 20 students in his class. Which statements are true? Check all that apply.

A circle graph titled Popularity of Musical Instruments. Guitar is 35 percent, piano is 30 percent, flute is 20 percent, horns is 15 percent.
Exactly half of the students voted for flute or guitar.
Three students voted for horns.
Less than one-third of the class voted for guitar.
Thirteen students voted for piano or guitar.
Twice as many students voted for piano as horns.
Eleven students voted for flute or guitar

Answer 1

False

True

False

True

True

True

Explanation:

Given:

Guitar is 35%

Piano is 30%

Flute is 20%

Horns is 15%

Choices:

Exactly half of the students voted for flute or guitar.

Exactly half is 50%. Here we have Flute is 20% and Guitar is 35% which add to 55%.

False

Three students voted for horns.

Horns is 15%. 15% of 20 = 0.15 × 20 = 3.

True

Less than one-third of the class voted for guitar.

1/3 as a percent is 33.333...%. Guitar is 35%.

False

Thirteen students voted for piano or guitar.

Piano is 30%.

Guitar is 35%.

30% + 35% = 65%

65% of 20 = 0.65 × 20 = 13

6 + 7 = 13

True

Twice as many students voted for piano as horns.

Piano is 30%

Horns is 15%

30% is twice 15%

True

Eleven students voted for flute or guitar

Flute is 20%

Guitar is 35%

20% + 35% = 55%

55% of 20 = 0.55 × 20 = 11

True