Six students in a class of 30 are wearing green socks. What percent of students are wearing green socks?

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Answer 1 · 2016-10-05T17:27:22

20%

You need to create a ratio and then multipy by 100 to figure out the percentage.

$% = 100 (\frac{p a r t}{w h o l e})$ $% = 100((part)/(whol e))$

Make the substitutions

$% = 100 (\frac{6}{30})$ $% = 100((6)/(30))$

Simplify

$% = 100 (\frac{1}{5})$ $% = 100((1)/(5))$

Cancel

$% = 20cancel100((1)/(cancel5))$

$% = 20(1)$

$% = 20$

Answer 2 · 2016-10-05T17:38:42

$20%$

When you write a fraction, it is the same as a decimal or percent, just in a different form.

$6/30 = 1/5" "larr$ simplify first

What is $1/5$ as a percent?

Method 1: convert to a denominator of 100

$1/5 xx 20/20 = 20/100" "larr 20%$

Method 2: fraction $xx 100%$

$1/cancel5 xx cancel100^20%" "larr$ note that $xx100% = xx100/100 = xx 1$

= $20%$

Method 3: Write as a decimal

$1/5 = 2/10 = 0.2$

$0.2 = 0.20" "larr$ 2 decimal places represent hundredths

= $20/100 = 20%$