Math  /  Data & Statistics

Question9. Students in a school were asked their favorite color. 58 students chose blue 49 chose yellow, 43 chose green, and 50 chose red. a. What fraction of students chose blue? b. What percent of students chose green? c. What percent of students chose red? d. What fraction of students chose yellow?

Studdy Solution

STEP 1

What is this asking? We need to figure out the portion of students who chose each color, expressed as both fractions and percentages! Watch out! Don't forget to find the **total** number of students first.
Also, remember to convert your fractions to percentages correctly!

STEP 2

1. Calculate the total number of students.
2. Calculate the fraction and percentage for each color.

STEP 3

Alright, let's **add up** the number of students who chose each color to get the **total** number of students!
We have 5858 for blue, 4949 for yellow, 4343 for green, and 5050 for red.

STEP 4

So, the **total** number of students is 58+49+43+50=20058 + 49 + 43 + 50 = 200.
Two hundred students!
That's a lot of colorful opinions!

STEP 5

The **fraction** of students who chose blue is the number who chose blue divided by the **total** number of students.
That's 58200\frac{58}{200}.
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 22.
This gives us 58÷2200÷2=29100\frac{58 \div 2}{200 \div 2} = \frac{29}{100}.
To get the **percentage**, we multiply the fraction by 100%100\%.
So, 29100100%=29%\frac{29}{100} \cdot 100\% = 29\% of the students chose blue.

STEP 6

For green, the **fraction** is 43200\frac{43}{200}.
This fraction is already simplified!
To get the **percentage**, we multiply by 100%100\%: 43200100%=432%=21.5%\frac{43}{200} \cdot 100\% = \frac{43}{2} \% = 21.5\%.

STEP 7

The **fraction** of students who chose red is 50200\frac{50}{200}.
We can simplify this by dividing both numerator and denominator by 5050: 50÷50200÷50=14\frac{50 \div 50}{200 \div 50} = \frac{1}{4}.
Now, for the **percentage**: 14100%=25%\frac{1}{4} \cdot 100\% = 25\% chose red!

STEP 8

Finally, yellow!
The **fraction** is 49200\frac{49}{200}.
This fraction cannot be simplified further.
The **percentage** is 49200100%=492%=24.5%\frac{49}{200} \cdot 100\% = \frac{49}{2}\% = 24.5\%.

STEP 9

a. 29/10029/100 of the students chose blue. b. 21.5%21.5\% of the students chose green. c. 25%25\% of the students chose red. d. 49/20049/200 of the students chose yellow.

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