Thought-Provoking Proportion Challenge Problems

I totally meant to share these problems a few weeks ago, but I wanted to try it out with my classes first.  However, I got so distracted with doing my Capture & Recapture Lab that we never got to the worksheet.  Yes, I did a Capture & Recapture lab for my Beginning Algebra Classes to help demonstrate how proportions might be used as part of a method of estimation.  Several students told me that without the lab, they wouldn't have really understood exactly why we even needed proportions.  That made me happy.  So, here we are after the semester has…
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The Snooze Button is Now a Math Problem

Yesterday I came across this problem while planning a lesson on ratio and proportion:"When I woke up this morning, I hit the snooze button and got 10 extra minutes to sleep.  Every time I hit the button, I get 10 extra minutes.  At this rate, if my alarm first goes off at 5:30 and I hit the snooze button 4 times before I actually get up, what time do I get up?" After careful thinking, it turns out that I wasn't actually interested in this problem at all.  I was actually interested in asking questions such as:Does it make since…
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Rotten Tomatoes, Linear Equations, Ratio and Proportion

This problem came about because I was talking about solving the equation 4x + y = - 14 for y and there was a little confusion about how I could  subtract 4x from - 14.  Although this was really a problem with combining like terms, I figured that now was as good of a time as ever to reinforce the idea of combining like terms. "Yaletta bought an unknown number of tomatoes at $4 each, but when she got home, she found out that all of the tomatoes were rotten.  In addition, she checked her receipt and realized that the…
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