Question

a group of 1,300 people took a survey in which they had to select their favorite of the four seasons (winter, spring, summer, and fall). the incomplete table below shows the results. season % of respondents winter 16 spring 22 summer fall 28 what percentage of respondents said summer was their favorite season? (ignore the % symbol when entering your answer. for example, if the answer is 12%, enter 12.) what number of respondents said summer was their favorite season?

Explanation:

Step1: Find summer's percentage

The sum of percentages of all seasons is 100. Let the percentage of summer - lovers be $x$. Then $16 + 22+x + 28=100$.

Step2: Solve for $x$

Combine like - terms: $66 + x=100$. Subtract 66 from both sides: $x=100 - 66=34$.

Step3: Find number of summer - lovers

The total number of respondents is 1300. The number of respondents who said summer was their favorite season is $0.34\times1300$.

Step4: Calculate the number

$0.34\times1300 = 442$.

Answer:

34
442