Solving Linear Equations with Part, Percent, and Whole - Basic Math
Card 0 of 32
If 
of an unknown number is 
, what is the unknown number?
If
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First, we will need to convert 
to a decimal.
Now, the word "of" means we will need to multiply 0.05 by our unknown number, 
. Set that equation to 18, since that is what the problem tells us.
Now, divide both sides by 0.05
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
Jimmy is a salesman who is paid a base salary of 
per month. He also receives a 
commission on all his sales. If Jimmy sold 
worth of goods one month, how much was he paid for that month?
Jimmy is a salesman who is paid a base salary of
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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.
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.
If 
of 
is 
, what is the value of 
If
Tap to see back →
To be able to write the question as an equation, we need to first convert 
into a decimal.
Now, we can write the following equation and solve.
To be able to write the question as an equation, we need to first convert
Now, we can write the following equation and solve.
If 
of an unknown number is 
, what is the unknown number?
If
Tap to see back →
First, we need to convert 
into a decimal.
Then, we can write the following equation using the information given in the question:
,
where 
is our unknown number.
Now, solve for 
First, we need to convert
Then, we can write the following equation using the information given in the question:
where
Now, solve for
When an unknown number is increased by 
, it becomes the number 
. What is the unknown number?
When an unknown number is increased by
Tap to see back →
First, convert the percent into a decimal.
Now, increasing an unknown number by 
can be written by the following expression:
Next, set that equal to 88, since that is what the question tells us to do.
Now solve.
First, convert the percent into a decimal.
Now, increasing an unknown number by
Next, set that equal to 88, since that is what the question tells us to do.
Now solve.
of an unknown number is 
. What is the unknown number?
Tap to see back →
Before we can write an equation, we need to turn the percent into a decimal.
Now, we can write the following equation:
Divide both sides by 
.
Before we can write an equation, we need to turn the percent into a decimal.
Now, we can write the following equation:
Divide both sides by
If 
of an unknown number is 
, what is the unknown number?
If
Tap to see back →
First, let 
stand for the unknown number.
Then, let's convert the percentage 
into an equivalent decimal 
Translating the question above into an equation, we have:
Dividing both sides by 
, we see that 
.
First, let
Then, let's convert the percentage
Translating the question above into an equation, we have:
Dividing both sides by
If 
of a number 
is 
, what is the value of 
?
If
Tap to see back →
First, let's convert the percentage 
into its equivalent decimal 
.
Then, translate the above question into an equation:
Dividing by 
:
First, let's convert the percentage
Then, translate the above question into an equation:
Dividing by
If of an unknown number is , what is the unknown number?
If
Tap to see back →
First, we will need to convert to a decimal.
Now, the word "of" means we will need to multiply 0.05 by our unknown number, . Set that equation to 18, since that is what the problem tells us.
Now, divide both sides by 0.05
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
Jimmy is a salesman who is paid a base salary of per month. He also receives a commission on all his sales. If Jimmy sold worth of goods one month, how much was he paid for that month?
Jimmy is a salesman who is paid a base salary of
Tap to see back →
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.
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.
If of is , what is the value of
If
Tap to see back →
To be able to write the question as an equation, we need to first convert into a decimal.
Now, we can write the following equation and solve.
To be able to write the question as an equation, we need to first convert
Now, we can write the following equation and solve.
If of an unknown number is , what is the unknown number?
If
Tap to see back →
First, we need to convert into a decimal.
Then, we can write the following equation using the information given in the question:
,
where is our unknown number.
Now, solve for
First, we need to convert
Then, we can write the following equation using the information given in the question:
where
Now, solve for
When an unknown number is increased by , it becomes the number . What is the unknown number?
When an unknown number is increased by
Tap to see back →
First, convert the percent into a decimal.
Now, increasing an unknown number by can be written by the following expression:
Next, set that equal to 88, since that is what the question tells us to do.
Now solve.
First, convert the percent into a decimal.
Now, increasing an unknown number by
Next, set that equal to 88, since that is what the question tells us to do.
Now solve.
of an unknown number is . What is the unknown number?
Tap to see back →
Before we can write an equation, we need to turn the percent into a decimal.
Now, we can write the following equation:
Divide both sides by .
Before we can write an equation, we need to turn the percent into a decimal.
Now, we can write the following equation:
Divide both sides by
If of an unknown number is , what is the unknown number?
If
Tap to see back →
First, let stand for the unknown number.
Then, let's convert the percentage into an equivalent decimal
Translating the question above into an equation, we have:
Dividing both sides by , we see that .
First, let
Then, let's convert the percentage
Translating the question above into an equation, we have:
Dividing both sides by
If of a number is , what is the value of ?
If
Tap to see back →
First, let's convert the percentage into its equivalent decimal .
Then, translate the above question into an equation:
Dividing by :
First, let's convert the percentage
Then, translate the above question into an equation:
Dividing by
If of an unknown number is , what is the unknown number?
If
Tap to see back →
First, we will need to convert to a decimal.
Now, the word "of" means we will need to multiply 0.05 by our unknown number, . Set that equation to 18, since that is what the problem tells us.
Now, divide both sides by 0.05
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
Jimmy is a salesman who is paid a base salary of per month. He also receives a commission on all his sales. If Jimmy sold worth of goods one month, how much was he paid for that month?
Jimmy is a salesman who is paid a base salary of
Tap to see back →
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.
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.
If of is , what is the value of
If
Tap to see back →
To be able to write the question as an equation, we need to first convert into a decimal.
Now, we can write the following equation and solve.
To be able to write the question as an equation, we need to first convert
Now, we can write the following equation and solve.
If of an unknown number is , what is the unknown number?
If
Tap to see back →
First, we need to convert into a decimal.
Then, we can write the following equation using the information given in the question:
,
where is our unknown number.
Now, solve for
First, we need to convert
Then, we can write the following equation using the information given in the question:
where
Now, solve for