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# Consumer Math || Percentages

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Hello. I am in need of assistance with this question. I am familiar with how to convert percentages into decimals and what not, but this question is really confusing to me. Any help? It would be much appreciated!
Max bought two items that were both on sale. One item was 10% off and one item was 20% off. Max says that he saved 15% altogether. Is he correct? Explain your answer above? Is Max correct? Why or why not? How did you reach your conclusion?

Oct 17, 2020

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It all depends on the original price of the 2 items. If they were equal in price, then your friend is right. The percentage he saved is simply the average of the two: [10 + 20] / 2 = 15%.

If the prices of the 2 items were radically different from each other, then the average would be quite different as well. Take 2 items priced at 100 dollars and 1,000 dollars. For the first one, he would simply pay 90 dollars, and for the second he would pay 800 dollars. Now you add up what he paid: 90 + 800 =890 dollars. Divide what he paid by the original price of the items: 890 / 1,100 =80.90% of the original price. Therefore, he saved: 100% - 80.90% =19.10% on the 2 items. Do you understand it now?

Oct 17, 2020
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Hello!
Thank you very much for the response. I understand this question now and the concept used to solve it. Thank you for your time :)

JohnnyNeedsHelp  Oct 19, 2020
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Max bought two items that were both on sale. One item was 10% off and one item was 20% off. Max says that he saved 15% altogether. Is he correct? Explain your answer above? Is Max correct? Why or why not? How did you reach your conclusion?

Try it with a few examples and see what happens.

Maybe try

1)  they are both \$10 before the discount

2) the 10% off one was 10 dollars  and the other one was 20 dollars

3) the 10% off one was 20 dollars and the other one was 10 dollars

Work out the savings for each one and see it it is 15% or more, or less than the original total.

See if you can do it by yourself now. But if you really don't get it then say so.

(Think about it properly yourself first though)

Oct 17, 2020
edited by Melody  Oct 17, 2020
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Hello!
I appreciate the assistance. I have a better knowledge of how to complete this problem using the examples listed. Thank you for your time :)

JohnnyNeedsHelp  Oct 19, 2020