Question

a class of 300 students were asked about their favorite sport and whether or not they play a musical instrument.
(a) fill in the two - way table using the information below.

• 40 students watch sports on tv and play tennis
• 140 students do not watch sports on tv
• 30 students like to play soccer, but dont watch sports on tv
• 110 students play tennis
• 50 students play basketball and watch sports on tv

Explanation:

Step1: Find total students who watch sports on TV

Total students = 300. Students who don't watch sports on TV = 140. So, students who watch sports on TV = \(300 - 140=160\)

Step2: Fill in Tennis row

Total tennis players = 110. Students who watch sports on TV and play tennis = 40. So, students who don't watch sports on TV and play tennis = \(110 - 40 = 70\)

Step3: Fill in Basketball row

Students who play basketball and watch sports on TV = 50. Let the number of students who play basketball and don't watch sports on TV be \(x\). Total students who watch sports on TV = 160. So far in the "watch sports on TV" column: tennis (40) + basketball (50). Let the number of students who play soccer and watch sports on TV be \(y\). Then \(y+40 + 50=160\), so \(y = 160-(40 + 50)=70\).
Students who like to play soccer but don't watch sports on TV = 30.
Total students who don't watch sports on TV = 140. In the "don't watch sports on TV" column: soccer (30)+tennis (70)+basketball (\(140-(30 + 70)=40\))
Total soccer players: \(70+30 = 100\)
Total basketball players: \(50 + 40=90\)

Answer:

	Watches Sports on TV	Doesn't Watch Sports on TV	Total
Basketball	50	40	90
Tennis	40	70	110
Total	160	140	300