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Question 1 of 5
George decided to donate 7 % 7 % of his money to charity. If he has a total of $ 4500 $ 4500 , how much will he be giving to the charity?
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First, list down the known values.
George’s total money = $ 4500 George’s total money = $ 4500
Percentage of amount to be donated = 7 % Percentage of amount to be donated = 7 %
To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.
7 % 7 % × × 4500 4500
= =
7 100 × 4500 1 7 100 × 4500 1
Convert values to fraction form
= =
7 1 × 45 1 7 1 × 45 1
Simplify
= =
7 × 45 1 7 × 45 1
= =
315 315
Hence, George will be donating $ 315 − −− − $ 315 _ to charity.
Question 2 of 5
70 % 70 % of a class consisting of 30 30 students passed a math test. How many of the students passed?
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First, list down the known values.
Total number of students = 30 Total number of students = 30
Percentage of students who passed = 70 % Percentage of students who passed = 70 %
To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.
70 % 70 % × × 30 30
= =
70 100 × 30 1 70 100 × 30 1
Convert values to fraction form
= =
7 1 × 3 1 7 1 × 3 1
Simplify
= =
7 × 3 1 7 × 3 1
= =
21 21
Hence, 21 students − −−−−−−−− − 21 students _ passed the math test.
Question 3 of 5
Alice spends 60 % 60 % of her total weekly income. If she earns $ 880 $ 880 every week, how much is she spending?
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First, list down the known values.
Alice’s weekly earning = $ 880 Alice’s weekly earning = $ 880
Percentage of money to be spent = 60 % Percentage of money to be spent = 60 %
To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.
60 % 60 % × × 880 880
= =
60 100 × 880 1 60 100 × 880 1
Convert values to fraction form
= =
6 1 × 88 1 6 1 × 88 1
Simplify
= =
6 × 88 1 6 × 88 1
= =
528 528
Hence, Alice will be spending $ 528 − −− − $ 528 _ .
Question 4 of 5
A real estate agent gets 3 % 3 % commission on the first $ 90,000 $ 90,000 on the value of a home and he gets an additional 1.5 % 1.5 % commission for the remaining balance. How much commission in total will he earn if he sells a home valued at $ 690,000 $ 690,000 ?
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A commission is expressed as a percentage of the value of goods sold.
First, draw a line diagram to further understand the given values.
Solve for the remaining balance by subtracting $ 90,000 $ 90,000 from the value of the house, which is $ 690,000 $ 690,000 .
Remaining Balance Remaining Balance
= =
$ 690,000 − 90,000 $ 690,000 − 90,000
= =
$ 600,000 $ 600,000
Next, solve the commission for the first $ 90,000 $ 90,000 of the value, which will be 3 % 3 % .
$ 3 % × 90,000 $ 3 % × 90,000
= =
3 100 × 90,000 1 3 100 × 90,000 1
Convert values to fraction form
= =
3 1 × 900 1 3 1 × 900 1
Simplify
= =
$ 2700 $ 2700
Then, solve the commission for the rest of the value, which will be 1.5 % 1.5 % .
$ 1.5 % × 600,000 $ 1.5 % × 600,000
= =
1.5 100 × 600,000 1 1.5 100 × 600,000 1
Convert values to fraction form
= =
1.5 1 × 6000 1 1.5 1 × 6000 1
Simplify
= =
$ 9000 $ 9000
Finally, add the two commissions to get the total commission
Total Commission Total Commission
= =
2700 2700 + + 9000 9000
= =
$ 11,700 $ 11,700
Hence, the real estate agent will get a total commission of $ 11,700 − −−−−− − $ 11,700 _ .
Question 5 of 5
A school has 400 400 students. 28 % 28 % of them travel to school by bus. How many travel to school without a bus?
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First, summarise the data and draw a diagram for easier understanding of the problem
Total students = 400 Total students = 400
Percentage of students taking the bus = 28 % Percentage of students taking the bus = 28 %
Percentage of total students = 100 % Percentage of total students = 100 %
Percentage of students not taking the bus = ? Percentage of students not taking the bus = ?
Next, find the percentage of students that don’t take the bus.
Do this by subtracting the percentage of students that take the bus ( 28 % ) ( 28 % ) from 100 % 100 %
% of students that don’t take the bus % of students that don’t take the bus
= =
100 100 − - 28 28
= =
72 % 72 %
72 % 72 % of the students don’t take the bus.
Finally, multiply the percentage to the total number of students which is 400 400
Students that don’t take the bus Students that don’t take the bus
= =
72 % 72 % × × 400 400
= =
72 100 × 400 1 72 100 × 400 1
Convert values to fraction form
= =
72 1 × 4 1 72 1 × 4 1
Cancel the zeros
= =
72 × 4 1 72 × 4 1
= =
288 1 288 1
= =
288 288 students
Hence, 288 students − −−−−−−−−− − 288 students _ don’t take the bus.