See here for the original post of the puzzle.
Say x and y are the costs of the two records. I bought them for x+y=100 dollars and then sold them for 1.2x+0.8y=110 dollars. (Note the 20% markup on x and 20% discount on y.) Solve this simple system of two equations with two unknowns and you'll find x=75 and y=25.
Showing posts with label vinyl. Show all posts
Showing posts with label vinyl. Show all posts
Monday, March 7, 2016
Monday, February 29, 2016
Spring 2016 POTW #1: Vinyl Buys
Submissions due by midnight on Sunday March 6, 2016.
Welcome back to Puzzle of the Week, put on by the Emmanuel College Department of Mathematics! If you're new around here, you should know that we'll have a puzzle posted every Monday, with submissions due by Sunday night. You can earn points for your answers, and the "top scorers" at the end of year will earn prizes. (But take notice: You can be a "top scorer" in terms of both high scores and frequent participation, so submit often and you may find that you've done better than you realized!)
To start the puzzling for the spring semester, here's a little algebra problem for you:
I collect vinyl records. I recently bought two valuable records for a combined price of $100. Later, I brought them to a record fair and ended up selling them both: one of them at a 20% markup and one of them at a 20% discount (compared to the original prices I paid). Overall, this netted me a $10 profit on the entire venture. What were the prices that I originally paid for the two records?
(Use the submission box below to submit your answer. No need to explain: a correct answer will suffice for 10 points.)
Welcome back to Puzzle of the Week, put on by the Emmanuel College Department of Mathematics! If you're new around here, you should know that we'll have a puzzle posted every Monday, with submissions due by Sunday night. You can earn points for your answers, and the "top scorers" at the end of year will earn prizes. (But take notice: You can be a "top scorer" in terms of both high scores and frequent participation, so submit often and you may find that you've done better than you realized!)
To start the puzzling for the spring semester, here's a little algebra problem for you:
I collect vinyl records. I recently bought two valuable records for a combined price of $100. Later, I brought them to a record fair and ended up selling them both: one of them at a 20% markup and one of them at a 20% discount (compared to the original prices I paid). Overall, this netted me a $10 profit on the entire venture. What were the prices that I originally paid for the two records?
(Use the submission box below to submit your answer. No need to explain: a correct answer will suffice for 10 points.)
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