homework help please?

Question

An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?

Answer 1

Isn't this cheating??!!
Do you own damn homework!

Answer 2

wow, so discount the original cost for 10% and then take 15% off that. So if 100% is the original cost, then after taking the student discount you have 90% original cost equals student cost. Then the back to school sale takes of 15% off that so the actual price ($306) is equal to 85% (100% - 15%) of 90% of the original cost. So your equation looks like this where O is the original cost.
306= .85(.9*O). combine the .85 and .9 by multiplying them you have 306= .765*O. now divide both sides by .765 and you get..
400 = O.. prove it out... take 10% of 400 you get 40, so the cost after student discount is 360, now take 15 percent of 360 to get back to school savings, and that is 54, so 360-54 is 306, so the answer is $400.

Answer 3

the 306 is 85% of the discount price or 85 /100 or 17/20so divide by 17 multiply by 20 to bring it to normal discount price
that will give the answer of 9/10 of the correct price so divide by 9 and multiply by 10 and that will give the full price
so 306 divided by 17 =18 multiplied by 20 = 360 divided by 9 =40 multiplied by 10 gives the full price $400

Answer 4

do this.

lets start at: julie buys the flute from the school.

if x=original price of the flute as it is sold in school

it means that

x - (15% of x) = $306

turn 15% to 0.15 (guess u already know why we need to do this), so...

x - 0.15x = $306

basically, when a variable has no number beside it, it is valued as 1, as in

x = 1x and so it becomes 1x - 0.15x

1x - 0.15x = $306
0.85x = $306

divide both by 0.85 so u can get the value of x

0.85x/0.85 = $306/0.85
x = $360

do all of these again to get the original price of the flute as sold by the store. but change 0.15 to 0.10 because the store only discounted 10%. also, ur target value would become $360.

x - 0.10x = $360
0.90x = $360
0.90x/0.90 = $360/0.90
x = $400

err...hope u dont get confused with the way i wrote this...hehe...

Answer 5

well is the price $306 bought on a back to school discount or not ?

if it is than d answer shld be $382.50 is the original amount ($306 + 25% = to the above)

if it on a 10% discount than it is $336.60 is the original amount ($306 + 10% = 336.60)

Answer 6

$400

400 x .9 (the first 10 percent discount) = $360..then x .85 (the second 15 precent discount) = $306.

Answer 7

First discount price is .9 time original price; second is .85 times the first dicount price. Total discounted price is then .9 times .85 times the original price.