SOLUTION: This was a multiple choice word problem on percents. I found the correct answer by working the answers backward, but I would like to know how to write out the steps the correct way
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: This was a multiple choice word problem on percents. I found the correct answer by working the answers backward, but I would like to know how to write out the steps the correct way
Log On
Question 483309: This was a multiple choice word problem on percents. I found the correct answer by working the answers backward, but I would like to know how to write out the steps the correct way. (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 purchases a flute for $306. How much did it originally cost?)
I know the answer is 400. (.10x400)=40. 400-40=360 (360x.15)=54
360-54=306. So I can figure it out if given a mutiple choice, but how should I have done it?
Many thanks
Marcia Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let the original price be x
10% discount
so the cost is 0.9x
..
0n 0.9x additional 15 %
0.9x*0.85 =306
0.765x=306
x= 306/0.765
x= $400
