### Question Description

At your building supply store, you want to put a lawn mower in a clearance sale. The lawn mower costs $180, and you would like to sell them for $108. However, instead of using 1 discount of 40%, you would like to apply multiple discounts to make the sale seem more like a bargain. What percentages could you use?

## Explanation & Answer

Thank you for the opportunity to help you with your question!

There are of course multiple percentages you can use, but if a 40% discount gives us the final clearance price then we should start with a percent that is less than 40, let's say 30%.

20% of $180 = $36 (to find this, do .20 x 180)

Subtract this from the original price: $180 - $36 = $144.

Now, the final price we want is $108, so we need to find the difference of these 2 prices and then find at what percentage this occurs at.

$144 - $108 = $36

x% of $144 = $36

which means we have the equation: p x 144 = 36 (Using the variable p for percent)

divide each side by 144:

p = 36/144 = .33333 or 33.33%

Therefore, we can use 20%, then 33.33% (or say an additional 1/3 of the cost off).

Please let me know if you need any clarification. I'm always happy to answer your questions.