Percent of an Amount – Word Problems 2

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?

$$$ $$$ (315)

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First, list down the known values.

George’s total money = $ 4500

$\text(George’s total money)=$4500$

Percentage of amount to be donated = 7 %

$\text(Percentage of amount to be donated)=7%$

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

	$7 %$ $7%$ $\times$ $times$ $4500$ $4500$

$=$ $=$	$\frac{7}{100} \times \frac{4500}{1}$ $7/100times4500/1$	Convert values to fraction form

$=$ $=$	$\frac{7}{1} \times \frac{45}{1}$ $7/1times45/1$	Simplify

$=$ $=$	$\frac{7\times45}{1}$

$=$ $=$	$315$ $315$

Hence, George will be donating $\underline{$315}$ to charity.

$ 315

$$315$

Question 2 of 5

70 %

$70%$ of a class consisting of

30

$30$ students passed a math test. How many of the students passed?

(21) $students$ $\text(students)$

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First, list down the known values.

Total number of students = 30

$\text(Total number of students)=30$

Percentage of students who passed = 70 %

$\text(Percentage of students who passed)=70%$

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

	$70 %$ $70%$ $\times$ $times$ $30$ $30$

$=$ $=$	$\frac{70}{100} \times \frac{30}{1}$ $70/100times30/1$	Convert values to fraction form

$=$ $=$	$\frac{7}{1} \times \frac{3}{1}$ $7/1times3/1$	Simplify

$=$ $=$	$\frac{7\times3}{1}$

$=$ $=$	$21$ $21$

Hence, $\underline{21\;\text{students}}$ passed the math test.

21 students

$21 \text(students)$

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?

$$$ $$$ (528)

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First, list down the known values.

Alice’s weekly earning = $ 880

$\text(Alice’s weekly earning)=$880$

Percentage of money to be spent = 60 %

$\text(Percentage of money to be spent)=60%$

To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.

	$60 %$ $60%$ $\times$ $times$ $880$ $880$

$=$ $=$	$\frac{60}{100} \times \frac{880}{1}$ $60/100times880/1$	Convert values to fraction form

$=$ $=$	$\frac{6}{1} \times \frac{88}{1}$ $6/1times88/1$	Simplify

$=$ $=$	$\frac{6\times88}{1}$

$=$ $=$	$528$ $528$

Hence, Alice will be spending $\underline{$528}$ .

$ 528

$$528$

Question 4 of 5

A real estate agent gets

3 %

$3%$ commission on the first $$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$ ?

$$$ $$$ (11700)

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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 $$90{,}000$ from the value of the house, which is $$690{,}000$ .

$Remaining Balance$ $\text(Remaining Balance)$	$=$ $=$	$$690{,}000-90{,}000$
	$=$ $=$	$$600{,}000$

Next, solve the commission for the first $$90{,}000$ of the value, which will be

3 %

$3%$ .

	$$3\%\times90{,}000$

$=$ $=$	$\frac{3}{100}\times\frac{90{,}000}{1}$	Convert values to fraction form

$=$ $=$	$\frac{3}{1} \times \frac{900}{1}$ $3/1times900/1$	Simplify
$=$ $=$	$$ 2700$ $$2700$

Then, solve the commission for the rest of the value, which will be

1.5 %

$1.5%$ .

	$$1.5\%\times600{,}000$

$=$ $=$	$\frac{1.5}{100}\times\frac{600{,}000}{1}$	Convert values to fraction form

$=$ $=$	$\frac{1.5}{1} \times \frac{6000}{1}$ $1.5/1times6000/1$	Simplify
$=$ $=$	$$ 9000$ $$9000$

Finally, add the two commissions to get the total commission

$Total Commission$ $\text(Total Commission)$	$=$ $=$	$2700$ $2700$ $+$ $+$ $9000$ $9000$
	$=$ $=$	$$11{,}700$

Hence, the real estate agent will get a total commission of $\underline{$11{,}700}$ .

$ 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?

(288) $students$ $\text(students)$

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First, summarise the data and draw a diagram for easier understanding of the problem

Total students = 400

$\text(Total students)=400$

Percentage of students taking the bus = 28 %

$\text(Percentage of students taking the bus)=28%$

Percentage of total students = 100 %

$\text(Percentage of total students)=100%$

Percentage of students not taking the bus = ?

$\text(Percentage of students not taking the bus)=?$

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 $100 %$ $100%$

$% of students that don’t take the bus$ $% \text(of students that don’t take the bus)$	$=$ $=$	$100$ $100$ $-$ $-$ $28$ $28$
	$=$ $=$	$72 %$ $72%$

$72 %$ $72%$ of the students don’t take the bus.

Finally, multiply the percentage to the total number of students which is $400$ $400$

$Students that don’t take the bus$ $\text(Students that don’t take the bus)$	$=$ $=$	$72 %$ $72%$ $\times$ $times$ $400$ $400$

	$=$ $=$	$\frac{72}{100} \times \frac{400}{1}$ $72/100xx400/1$	Convert values to fraction form

	$=$ $=$	$\frac{72}{1} \times \frac{4}{1}$ $72/1xx4/1$	Cancel the zeros

	$=$ $=$	$\frac{72\times4}{1}$

	$=$ $=$	$\frac{288}{1}$ $288/1$

	$=$ $=$	$288$ $288$ students

Hence, $\underline{288\;\text{students}}$ don’t take the bus.

288

$288$ students

Percent of an Amount – Word Problems 2

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