8.1.9 Going Solo

Activity symbolActivity: Going Solo

(a) A radio program reported the following:

“Our ‘Going Solo’ survey of 4,000 single people found that only 1 in 5 is happy on their own.”

Write “1 in 5” as a fraction, a decimal, and a percentage. Which form do you think is easiest to understand?

Hint symbol

Comment

Which numbers create the fraction? How does this fraction convert to a percent? How does it convert to a decimal?

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Answer

(a) “1 in 5” can be written as one divided by five, or one division five equals 0.2, as well as one divided by five multiplication 100 percent equals 20 percent.

The report could have said “one-fifth” or “20%” of people in the survey, but “1 in 5” makes the proportion easy to visualize for people not comfortable with fractions and percentages. Which form is easiest to understand depends on your way of thinking.

Remember, all of these express the same number, although “0.2 of the people” would probably not be used, because it’s much harder to visualize and put in context. In part (b) you will determine how many people this is.

(b) How many of the 4,000 “Going Solo” survey participants seem to be content with being single?

Hint symbol

Comment

You know that it’s one-fifth of the group, and remember, “of” means “multiply.”

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Answer

(b) one divided by five multiplication four times 000 equals 800. So, 800 out of the 4,000 surveyed singles feel happy on their own.

8.1.8 Find a Percentage of a Number

8.1.10 Which Percent is It?