Question

a sports radio station asked local listeners for their favorite football team. answer the questions based on the pie graph below.

1. what percentage chose either the titans or the broncos?
2. combined, which two teams did the greatest number of listeners choose?
3. were the raiders and cowboys picked more than the jets and 49ers; or were they equal favorites?
4. between the raiders and the cowboys which team was more popular; or were they equally popular?
5. if there were 300 listeners that were polled, how many picked the 49ers?

Explanation:

Step1: Calculate Titans + Broncos percentage

$10\% + 13\% = 23\%$

Step2: Find two largest percentages

Cowboys (30%) + Raiders (20%) are top two

Step3: Calculate Raiders+Cowboys vs Jets+49ers

First, find 49ers percentage: $100\% - 30\% -13\% -12\% -10\% -20\% = 15\%$
Raiders+Cowboys: $20\% +30\%=50\%$
Jets+49ers: $12\% +15\%=27\%$
50% > 27%

Step4: Compare Raiders and Cowboys percentages

Cowboys (30%) > Raiders (20%)

Step5: Calculate 49ers count

$300 \times 15\% = 300 \times 0.15 = 45$

Answer:

1. 23%
2. Cowboys and Raiders
3. More
4. Cowboys
5. 45