If the ratio is 3:1 what is the percentage?

3 Answers
May 23, 2015

a ratio of # 3:1# can be written as #(3/1)#

in percentage terms
# (3/1) xx 100 = 300%#

we can also assume two numbers which have a #3:1# ratio for example, #6# and #2#

# 6/2 xx100 = 300%#

May 23, 2015

The question seems to me be missing some details.

I agree with Don't Memorize's answer for an interpretation of the question. It may be that the question more fully spelled out would be something like:

"If the ratio of 'YES' to 'NO' is 3:1 what are the percentages?"

in which case the answer would be #75%# 'YES' to #25%# 'NO'.

Jun 15, 2018

#75% : 25%#

Explanation:

A ratio of #3:1# means that there are #4# parts altogether.

The fractions from the ratio can therefore be deduced as

#3/4 and 1/4#

These represent the percentages:

#75% : 25%#

In simplest form this gives the ratio

#3: 1# as we were given.