A recent survey of 300 television owners compared their television viewing habits before and after getting a DVR recording device. The circle graph to the right shows the data from the survey. Find the total number of people who say they watch less television.
A circle graph with five sections representing television owners and the corresponding portion of their responses to a survey comparing television use before and after getting a recording device: Somewhat more, one third; Somewhat less, one fifth; Much less, one tenth; Much more, one tenth; no information, four fifteenths.
Somewhat more 1/3
Somewhat less 1/5
Much less 1/10
Much more 1/10
Do not know 4/15
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To find the total number of people who say they watch less television, we need to calculate the sum of the portions of the circle graph that represent watching less television.
The portions representing watching less television are "Somewhat less," "Much less," and "Do not know."
The portion representing "Somewhat less" is 1/5 of the circle graph.
The portion representing "Much less" is 1/10 of the circle graph.
The portion representing "Do not know" is 4/15 of the circle graph.
To find the total number of people who watch less television, we need to add these fractions together:
1/5 + 1/10 + 4/15
To add these fractions, we need to find a common denominator:
The common denominator of 5, 10, and 15 is 30.
Converting 1/5, 1/10, and 4/15 to have a denominator of 30:
(1/5) * (6/6) = 6/30
(1/10) * (3/3) = 3/30
(4/15) * (2/2) = 8/30
Adding the fractions together:
6/30 + 3/30 + 8/30 = 17/30
Therefore, the total number of people who say they watch less television is 17/30 of the total number of television owners surveyed.
To find the actual number of people, we need to multiply the fraction by the total number of people surveyed:
(17/30) * 300 = 170
So, the total number of people who say they watch less television is 170.
To find the total number of people who say they watch less television, we need to calculate the fraction of people who fall into the "Somewhat less" and "Much less" categories.
The circle graph shows that "Somewhat less" is represented by one-fifth of the graph, and "Much less" is represented by one-tenth of the graph.
To calculate the fraction represented by "Somewhat less," we divide 1 by 5:
1 ÷ 5 = 1/5
To calculate the fraction represented by "Much less," we divide 1 by 10:
1 ÷ 10 = 1/10
Now we can add these two fractions together to find the total fraction of people who watch less television:
1/5 + 1/10 = 2/10 + 1/10 = 3/10
Since the total number of participants surveyed is given as 300, we can multiply the fraction 3/10 by 300 to find the total number of people who say they watch less television:
(3/10) × 300 = (3 × 300) / 10 = 900/10 = 90
Therefore, the total number of people who say they watch less television is 90.