Percent of an Amount – Word Problems 2

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Question 1 of 5

1. Question
George decided to donate $7%$ of his money to charity. If he has a total of $$4500$ , how much will he be giving to the charity?
- $$$ (315)
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First, list down the known values.

$\text(George’s total money)=$4500$

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

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

$7%$ $times$ $4500$

$=$ $7/100times4500/1$ Convert values to fraction form

$=$ $7/1times45/1$ Simplify

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

$=$ $315$

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

$$315$
Question 2 of 5

2. Question
$70%$ of a class consisting of $30$ students passed a math test. How many of the students passed?
- (21) $\text(students)$
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First, list down the known values.

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

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

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

$70%$ $times$ $30$

$=$ $70/100times30/1$ Convert values to fraction form

$=$ $7/1times3/1$ Simplify

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

$=$ $21$

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

$21 \text(students)$
Question 3 of 5

3. Question
Alice spends $60%$ of her total weekly income. If she earns $$880$ every week, how much is she spending?
- $$$ (528)
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First, list down the known values.

$\text(Alice’s weekly earning)=$880$

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

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

$60%$ $times$ $880$

$=$ $60/100times880/1$ Convert values to fraction form

$=$ $6/1times88/1$ Simplify

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

$=$ $528$

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

$$528$

Question 4 of 5

A real estate agent gets

$3%$ commission on the first $$90{,}000$ on the value of a home and he gets an additional

$1.5%$ 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$ .

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

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

$3%$ .

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

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

$=$	$3/1times900/1$	Simplify
$=$	$$2700$

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

$1.5%$ .

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

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

$=$	$1.5/1times6000/1$	Simplify
$=$	$$9000$

Finally, add the two commissions to get the total commission

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

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

$$11{,}700$

Question 5 of 5

A school has

$400$ students.

$28%$ of them travel to school by bus. How many travel to school without a bus?

(288) $\text(students)$

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

$\text(Total students)=400$

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

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

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

Next, find the percentage of students that don’t take the bus.

Do this by subtracting the percentage of students that take the bus $(28%)$ from $100%$

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

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

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

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

	$=$	$72/100xx400/1$	Convert values to fraction form

	$=$	$72/1xx4/1$	Cancel the zeros

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

	$=$	$288/1$

	$=$	$288$ students

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

$288$ students

Percent of an Amount – Word Problems 2

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Quiz summary

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1. Question

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Excellent!

2. Question

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Great Work!

3. Question

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Fantastic!

4. Question

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Great Work!

5. Question

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Exceptional!

Quizzes

	$7%$ $times$ $4500$

$=$	$7/100times4500/1$	Convert values to fraction form

$=$	$7/1times45/1$	Simplify

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

$=$	$315$

	$70%$ $times$ $30$

$=$	$70/100times30/1$	Convert values to fraction form

$=$	$7/1times3/1$	Simplify

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

$=$	$21$

	$60%$ $times$ $880$

$=$	$60/100times880/1$	Convert values to fraction form

$=$	$6/1times88/1$	Simplify

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

$=$	$528$