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?
2006-09-16 10:45:48 · 21 answers · asked by Mont B 1 in Education & Reference ➔ Homework Help
x= original price
y= discount price
y = x - .1x
purchase price = y - .15y
306 = .85y
360=y
y=.9x
400=x
2006-09-16 10:52:46 · answer #1 · answered by Matty G 2 · 0⤊ 0⤋
To do this type of question, you let x = the original cost
If there's a 10% discount then it'll cost 0.9x
If there's an additional 15% discount it won't be 25% off the original price. (You don't add the 10% and 15%)
This is because the second discount is applied to the already lowered price. The final price ($306) is found by:
$306 = 0.85*(0.9x) = 0.765x
So the original price is x = $306/0.765 = $400
2006-09-16 11:07:25 · answer #2 · answered by atheist 3 · 0⤊ 0⤋
Correct answer is $400.
Prior to the second discount (i.e. 15%) the price was 360 = 306*100/85. Therefore, original cost was 400 = 360*100/90
2006-09-16 10:49:52 · answer #3 · answered by Elchin I 2 · 1⤊ 0⤋
$400, if you take $306, you should divide by .85 and this will equal $360. Now take $360 and divide that by .9, and you will come with the final answer of $400.
The reasoning is that $306 was 85% of the sale price (100-15%). so if you divide it by 85%, you will get the original sales price. The same thing is for finding the original price. since $360 is 90% of the original, divide by .9 and you get the original price of $400.
2006-09-16 10:58:28 · answer #4 · answered by confused1832 2 · 0⤊ 0⤋
let the costbe $100
price after 1st discount=$90
price after 2nd discount=90*0.85=76.5
if the discounted price is 76.5 the cost is 100
if julie paid 306 the original cost=306*100/(76.5)=$400
2006-09-16 10:52:57 · answer #5 · answered by raj 7 · 0⤊ 0⤋
It would depend upon when she bought it.
If she bought it during the sale, $400.
$400-10%=$360-15%=$306
If she bought it after the sale, $340.
$340-10%=$306
2006-09-16 10:55:02 · answer #6 · answered by KnowhereMan 6 · 0⤊ 0⤋
$400.00
10% of $400 = $40 making it $360
15% of $360 = $54 making it $306
2006-09-16 10:51:17 · answer #7 · answered by ladypersephone21 3 · 0⤊ 0⤋
the equation would be:
x-.10x-.15x=306
.75x=306 or 3/4x=306
/.75 /.75
x=408
so the original cost was $408.00
hope this helps!!
2006-09-16 10:53:18 · answer #8 · answered by afireinsideme [DF] 6 · 0⤊ 0⤋
The answer is $387.09
Why?
$306 final price x 15% = $45.9
$306.00+45.90=$351.9 total with just 10% discount
$351.90 x 10% = $35.19
$351.90+35.19 = $387.09 is the original price
2006-09-16 10:54:21 · answer #9 · answered by Jeno 2 · 0⤊ 0⤋
Take 306+15%+10% and yuou will get your answer. Good luck.
2006-09-16 10:50:59 · answer #10 · answered by cjsipe24 1 · 0⤊ 0⤋
$400
2006-09-16 10:50:58 · answer #11 · answered by malcam_r 2 · 0⤊ 0⤋