Question

a survey was given to 92 dancers at a dance studio. the survey asked which style of dance is their favorite. the results are shown below

style of dance	number of votes
rumba	17
fox trot	12
salsa	13
tango	14

use the drop - down menu to complete each statement.

the number of votes for rumba and tango combined is about one - third the total number of votes.

the number of votes for fox trot and tango combined is equal to the number of votes for swing.

the number of votes for rumba, fox trot, and tango combined is less than half the total number of votes.

Explanation:

To solve these statements, we analyze the given data:

First Statement:

• Total votes: \( 26 + 17 + 12 + 13 + 14 = 82 \) (Wait, the problem says 92 dancers, but the sum of votes here is \( 26+17+12+13+14 = 82 \). Maybe a typo, but we'll use the given numbers.)
• Votes for Rumba and Tango: \( 17 + 14 = 31 \)
• Total votes (from problem statement): 92 (assuming the table has a typo, or maybe I miscalculated). Wait, \( 26+17=43, +12=55, +13=68, +14=82 \). But the problem says 92 dancers. Maybe the table is missing a dance style? Anyway, using the given total as 92 (as per the problem):
• \( \frac{31}{92} \approx 0.337 \), which is about one - third. So the first statement is correct as "one - third".

Second Statement:

• Votes for Fox Trot and Tango: \( 12+14 = 26 \)
• Votes for Swing: 26. So \( 26 = 26 \), so it is equal to.

Third Statement:

• Votes for Rumba, Fox Trot, and Tango: \( 17 + 12+14=43 \)
• Half of total votes (92) is \( \frac{92}{2}=46 \)
• Since \( 43<46 \), it is less than half.

First Statement Answer: one - third

Second Statement Answer: equal to

Third Statement Answer: less than half

Answer:

To solve these statements, we analyze the given data:

First Statement:

• Total votes: \( 26 + 17 + 12 + 13 + 14 = 82 \) (Wait, the problem says 92 dancers, but the sum of votes here is \( 26+17+12+13+14 = 82 \). Maybe a typo, but we'll use the given numbers.)
• Votes for Rumba and Tango: \( 17 + 14 = 31 \)
• Total votes (from problem statement): 92 (assuming the table has a typo, or maybe I miscalculated). Wait, \( 26+17=43, +12=55, +13=68, +14=82 \). But the problem says 92 dancers. Maybe the table is missing a dance style? Anyway, using the given total as 92 (as per the problem):
• \( \frac{31}{92} \approx 0.337 \), which is about one - third. So the first statement is correct as "one - third".

Second Statement:

• Votes for Fox Trot and Tango: \( 12+14 = 26 \)
• Votes for Swing: 26. So \( 26 = 26 \), so it is equal to.

Third Statement:

• Votes for Rumba, Fox Trot, and Tango: \( 17 + 12+14=43 \)
• Half of total votes (92) is \( \frac{92}{2}=46 \)
• Since \( 43<46 \), it is less than half.

First Statement Answer: one - third

Second Statement Answer: equal to

Third Statement Answer: less than half