Question

a drama club surveyed its 7th - and 8th - grade members to see what type of play they should perform.play preferencemusicalcomedy7th graders30208th graders2525based on the table, which statement is true?half the members chose comedy.a total of 50 members were surveyed.of the 7th - grade members, 60% chose a musical.of those surveyed, 50% chose a musical and are in the 8th grade.

Explanation:

Step1: Calculate total members surveyed

Total members = \(30 + 20+25 + 25=100\).

Step2: Check proportion of members who chose comedy

Number of members who chose comedy \(=20 + 25 = 45\). Proportion \(=\frac{45}{100}=0.45
eq0.5\).

Step3: Check proportion of 7th - grade members who chose musical

Number of 7th - grade members \(=30 + 20=50\). Proportion of 7th - grade members who chose musical \(=\frac{30}{50}=0.6 = 60\%\).

Step4: Check proportion of those surveyed who chose musical and are 8th - graders

Number of those who chose musical and are 8th - graders \(=25\). Proportion \(=\frac{25}{100}=0.25
eq0.5\).

Answer:

Of the 7th - grade members, 60% chose a musical.