Basic Arithmetic : Finding Part, Percent, and Whole
Study concepts, example questions & explanations for Basic Arithmetic
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Example Questions
Example Question #1 : Creating Linear Equations With Part, Percent, And Whole
What is the perimeter of a semicircle with an area of 
This is a multi-step problem. The perimeter of a semicircle is the sum of the circumference and diameter. First, since we are given the area, we will need to find the radius.
For the area of a semicircle:
Since the area is 
Since the radius is 2, the diameter is 4.
The circumference for a semicircle is:
The perimeter is the sum of the circumference and diameter:
Example Question #2 : Creating Linear Equations With Part, Percent, And Whole
What is 
Before multiplying, it's necessary to convert 0.25% to a decimal, which is 0.0025.
Multiply this 0.0025, with 100.
The correct answer is 0.25.
Example Question #2 : Creating Linear Equations With Part, Percent, And Whole
What is 
Before multiplying, we can convert 
Answering our initial question:
Example Question #3 : Creating Linear Equations With Part, Percent, And Whole
What is the perimeter of a rectangle with an area of 
Based on the information given in the question, we know that 
Substituting in the known values of 
Example Question #12 : Percents And Decimals
What is 
Before we answer the question, we should convert 
We can then substitute this value into the original question:
Example Question #3 : Creating Linear Equations With Part, Percent, And Whole
Lucy is a real estate agent who is paid a 
To start, we need to convert the percent into a decimal.
Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression 
Lucy is also paid $1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.
Putting the pieces of the salary together, we get the following equation:
Example Question #5 : Creating Linear Equations With Part, Percent, And Whole
A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?
A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.
Then, multiply the result times the existing maximum capacity.
The result is your answer.
Example Question #1 : Finding Part, Percent, And Whole
If 
First, we will need to convert 
Now, the word "of" means we will need to multiply 0.05 by our unknown number, 
Now, divide both sides by 0.05
Example Question #2 : Solving Linear Equations With Part, Percent, And Whole
If 
To be able to write the question as an equation, we need to first convert 
Now, we can write the following equation and solve.
Example Question #3 : Solving Linear Equations With Part, Percent, And Whole
Jimmy is a salesman who is paid a base salary of 
We can write the following equation to represet Jimmy's salary:
Because we know Jimmy sold $1920 this month, we can plug it into the above equation.
Now, convert the percent into a decimal to find how much Jimmy made this month.
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