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The following table gives a data from a newspaper survey in Kumasi. 400 people were asked to choose anyone of the newspaper they prefer to read. 5. The pie chart below shows how Mr. Brown spent his salary in the month of January, 2010. He spent Gh¢180.00 on rent.
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Step-by-step solution
11 stepsHere are the solutions to questions 4 and 5.
Question 4:
i) Find the value of .
Sum the known number of people.
The total number of people surveyed is 400. The sum of the people who prefer Graphic, Ghanaian Times, Mirror, and Free Press is:
Calculate the value of .
The total number of people is the sum of all categories.
The value of is .
ii) Draw a pie chart for the distribution.
To draw a pie chart, we first need to calculate the angle for each newspaper category. The total angle in a circle is .
Calculate the angle for each category.
- Graphic:
- Ghanaian Times:
- Mirror:
- Daily Guide ():
- Free Press:
Summarize the angles for drawing the pie chart.
The angles for the pie chart sectors are:
- Graphic:
- Ghanaian Times:
- Mirror:
- Daily Guide:
- Free Press: (You would use these angles to draw the respective sectors in a circle.)
Question 5:
i) Find angle representing savings for the month.
Sum the known angles in the pie chart.
The sum of all angles in a circle is .
Calculate angle .
The angle representing savings is .
ii) What's the man's salary for the month?
Determine the proportion of rent expenditure to the total salary.
We know that Gh¢180.00 was spent on rent, which corresponds to an angle of .
Let be the total salary.Solve for the total salary .
The man's salary for the month is .
iii) By how much does expenditure on others exceed that on clothing.
Calculate the expenditure on "Others".
The angle for "Others" is .
Calculate the expenditure on "Clothing".
The angle for "Clothing" is .
Find the difference.
The expenditure on others exceeds that on clothing by .
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