mike and mandy bought the same item mike aid 15,000 mandy got a discount and paid 3,00 less how much of a discount did she get??

Respuesta :

She got a 20% discount (or 80% discount). (Work shown for 80%).
First you have to find out how much Mandy paid. So from 15000 you will subtract 3000. 15000-3000=12000.
Next you need to set up your equation. [tex] \frac{1200}{15000}= \frac{x}{100} [/tex]. You then have to cross multiply. So 100 times 12000, 100*12000=1200000. And 15000 times x is 15000x. Finally you divide both sides by 15000. And 1200000 divided by 15000 is 80. X=80

A percentage is a way to describe a part of a whole. The discount that Mandy got is 20%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The amount paid by Mike is $15,000, while the amount paid by Mandy is $3,000 less than the amount paid by Mike. Therefore, calculating $3,000 is what percentage of $15,000.

Let the discount got by Mandy be x. Therefore, we can write,

[tex]\rm x\%\ of\ \$15,000 = \$3,000\\\\[/tex]

[tex]\dfrac{x}{100} \times 15000 = 3000\\\\\\x = \dfrac{3000 \times 100}{15000}\\\\\\x = 20[/tex]

Hence, the discount that Mandy got is 20%.

Learn more about Percentages:

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