What is the sale price of a $24.50 item with an 18% discount?

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Answer 1 · 2017-04-02T15:38:17

See the entire solution process below:

First, we must determine the discount amount or, what is 18% of $24.50?

"Percent" or "%" means "out of 100" or "per 100", Therefore 18% can be written as #18/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the discount we are looking for "d".

Putting this altogether we can write this equation and solve for #d# while keeping the equation balanced:

#d = 18/100 xx $24.50#

#d = ($441.00)/100#

#d = $4.41#

Now, we can calculate the sales price using this formula:

#s = p - d#

Where:

#s# is the sales price we are looking to determine.

#p# is the original price - $24.50 for this problem.

#d# is the discount we calculated - $4.41 for this problem.

Substituting and calculating gives:

#s = $24.50 - $4.41#

#s = $20.09#

Answer 2 · 2017-04-02T15:42:10

$20.09

The total price of $24.50 would be 100%

Subtract 18% from 100% to find the percent of the total price that the sale price will be.

# 100% - 18% = 82%#

So the sale price will be 82% of the original price of $ 24.50

Now set up a proportion

# (82%)/(100%) = p / ($24.50)# Multiply both sides by $ 24.50 to isolate p ( the sale price)

# {(82%) xx $ 24.50}/(100%) = p# Dividing by 100 % removes the % sign and moves the decimal 2 places to the right giving

# $ 20.09 = p #