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Mathematics 21 Online
OpenStudy (anonymous):

Can someone plz help me? Im really stuck on this test. I've been on this test for about 3 hours.... I need help!

OpenStudy (anonymous):

I can try to help

OpenStudy (anonymous):

Thank you, you dont have to give me the answers i just dont understand it so plz walk me through it.

OpenStudy (anonymous):

1. Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences.

OpenStudy (anonymous):

okay so do you think Dan is correct for taking 85 percent of the normal purchase price and computing 110 percent of the purchase amount?

OpenStudy (anonymous):

I am not sure but im going with not correct

OpenStudy (anonymous):

good Job, thats right just to let you know and what about Tess?

OpenStudy (anonymous):

Correct

OpenStudy (anonymous):

Good Job you see you didnt even need help, but you still need to explain why

OpenStudy (anonymous):

so try it out

OpenStudy (anonymous):

yes, actually i guessed why are they wrong?

OpenStudy (anonymous):

For tess you do 15% of 24.50..so now to do this this we do percent proportions right?

OpenStudy (anonymous):

you just do 24.50 -15

OpenStudy (anonymous):

that would be 9.5

OpenStudy (anonymous):

plus 10 because of the tax

OpenStudy (anonymous):

19.5

OpenStudy (anonymous):

which is rounded to?

OpenStudy (anonymous):

20

OpenStudy (anonymous):

alright then thts it

OpenStudy (anonymous):

ok thank you

OpenStudy (anonymous):

np

OpenStudy (anonymous):

So basicly all we did was subtract 24.50 from 15. Then add 10 and then round.

OpenStudy (anonymous):

yeah but you cant explain it like that so simply, and you gotta explain why the other person is wrong

OpenStudy (anonymous):

Ok can we go over why Dan is wrong?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

try and do percent proportions for that one

OpenStudy (anonymous):

15% of 24.50 are these the numbers to so percent proportions?

OpenStudy (anonymous):

If so then it would be 3.657

OpenStudy (anonymous):

round

OpenStudy (anonymous):

4

OpenStudy (anonymous):

i dont know that answer sounds a little to low

OpenStudy (anonymous):

oh ok what do think the answer is?

OpenStudy (anonymous):

somethings off about it, i dont think i know that part its a little tricky

OpenStudy (anonymous):

ok do you want to know what my friend said about this question?

OpenStudy (anonymous):

yeah sure

OpenStudy (anonymous):

$24.50 x 0.85 = $20.825 $20.825 x 1.10 = $22.9075 $22.9075 < $24.00, so then tess and dan have enough money for the books.

OpenStudy (anonymous):

no that 20.825 doesnt multiply by 1.10 because in the question it says they both have 24.00 each and the books are 24.50, dan takes 85 percent of the normal price which is 24.50

OpenStudy (anonymous):

Can't we just add all the number then add the the percents and subtract it?

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