Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (danielannx3):

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?

OpenStudy (danielannx3):

dont give me the answer help me

OpenStudy (danielannx3):

@campbell_st

OpenStudy (campbell_st):

ok... so as I understand it... given I'm in Australia... sales tax is paid on the price... so you would need to find the normal price without sales tax... does that make sense..?

OpenStudy (danielannx3):

yea kinda

OpenStudy (campbell_st):

sorry I just re-read it... ignore what I just typed...

OpenStudy (danielannx3):

oka lol is fine

OpenStudy (campbell_st):

so to get the discounted price you can either 1. find 15% of $24.50 and then subtract it from the price 2. given the price is 100% and you get a 15% discount, meaning you only pay 85% so Discounted Price = 24.50 x 85/100 does that make sense..?

OpenStudy (danielannx3):

yeaa

OpenStudy (campbell_st):

so reading the question... they both have a good method for the discounted price... now sales tax you can find 10% of the discounted price and add it to the discounted price... is that ok..?

OpenStudy (campbell_st):

but you can also think the discounted price is now 100% and so a 10% sales tax means you pay 110%... so find 110% of the discounted price... so both are valid methods...

OpenStudy (campbell_st):

so now percentages the simple way Price = $24.50 10% discount is $2.45 what would 5% discount be..?

OpenStudy (danielannx3):

$1.25 @campbell_st

OpenStudy (danielannx3):

?

OpenStudy (campbell_st):

well close is 10% = $2.45 5% = 2.45/2

OpenStudy (campbell_st):

so from there you can find 15% and see what you save and the new price

OpenStudy (hapahearthero):

Not sure about dan but Tess has enough. Basically regular price is $24.50 Tax would be the $24.50 x .10 = $2.45 (or simply just move the decimal over left one to figure it out quicker) Then $24.50 x .15 to find the total discount OR $24.50 x .85 to find the new discounted price. then add the tax previously calculated and BAM! Good luck

OpenStudy (campbell_st):

finding 10% just means you move the decimal point 1 place to the left

OpenStudy (hapahearthero):

Now can someone help me with my question I just posted!!!? :]

OpenStudy (campbell_st):

so what do you think the discounted price will be..?

OpenStudy (danielannx3):

it wil be 3.25/2

OpenStudy (campbell_st):

well if 10% = $2.45 5% = $1.23 ----------------- 15% = $3.68 this is the discount Discounted Price = 24.50 - 3.68 so what is the discounted price.?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!