Question

250 students were asked to choose their favorite color. How many more students chose purple than red as their favorite color? 26% chose purple and 22% chose red

Answer 1

10 more students chose purple than red as their favorite color

Explanation:

Step 1

Determine the proportion of students that chose each color

purple=26%

red=22%

Step 2

Use the expression for the number of students per color as follows;

Number of students per color=proportion per color×total number of students

for purple;

proportion that chose purple=26%

total number of students=250

replacing;

Number of students that chose purple=(26/100)×250=65 students

for red;

proportion that chose red=22%

total number of students=250

replacing;

Number of students that chose purple=(22/100)×250=55 students

Step 3

Difference=65-55=10

10 more students chose purple than red as their favorite color