Question

What is the difference between the percentage of the female students who preferred pizza and the percentage of the male students who preferred pizza?

Answer 1

35%

What is a percentage?

A percentage is a way of representing how much of a whole is present. Like a decimal or a fraction, a percentage is another form of showing these ratios and portions.

Finding Necessary Values

From the chart, we need to find how the total number of female students and the total number of male students.

Female

`18+12=30`

Male

`5+15=20`

Solve - Female Students with Pizza Preference

First, take the number of female students that prefer pizza and divide it by the total number of female students.

`\displaystyle (18)/(30)`

`\displaystyle (3)/(5)`

Convert the fraction into a decimal by using a calculator.

`\displaystyle (3)/(5) = 0.6`

Then, convert the decimal to a percentage by multiplying by 100.

`0.6*100=60\%`

The percentage of female students who preferred pizza is 60%.

Solve - Male Students with Pizza Preference

Take the number of male students that prefer pizza and divide it by the total number of male students.

`\displaystyle (5)/(20)`

`\displaystyle (1)/(4)`

Convert the fraction into a decimal by using a calculator.

`\displaystyle (1)/(4)=0.25`

Then, convert the decimal into a percentage by multiplying by 100.

`0.25*100=25\%`

The percentage of male students who preferred pizza is 25%.

Solve - Find the Difference

Finally, subtract the percentage of male students who preferred pizza from the percentage of female students who preferred pizza.

`60\%-25\%=35\%`

The final answer is 35%.