Brain Teasers
Walk- A- Thon
Alyssa, Juan, Myisha, Tracy, and Scott raised a total of $550.68 for the nearby homeless shelter by walking in a "walk-a-thon." Before the walk, they each got promises (pledges) from a number of people to contribute money for each mile they walked. The total amount per mile which each person raised ranged from $7.10 a mile to $20.70 per mile, and the total distance each person walked ranged from 5 3/4 miles to 13 1/2 miles.
At the end of the walk-a-thon, they collected the exact amount that had been pledged to them for each mile they walked. All amounts are rounded to the nearest penny.
Using the information above and the clues below, how far did each person walk, and how much did they each earn to contribute to the shelter?
Alyssa walked the fewest miles, but her total pledge per mile was 50% more than Scott's.
Juan had a total of $10.35 pledged per mile, and walked 3 1/4 more miles than Alyssa.
Myisha walked .25 mile more than Alyssa, but her total pledge per mile was twice Juan's.
Tracy had the least amount per mile pledged.
Scott walked twice as far as Alyssa and had an total of $1.45 more per mile pledged than Juan.
At the end of the walk-a-thon, they collected the exact amount that had been pledged to them for each mile they walked. All amounts are rounded to the nearest penny.
Using the information above and the clues below, how far did each person walk, and how much did they each earn to contribute to the shelter?
Alyssa walked the fewest miles, but her total pledge per mile was 50% more than Scott's.
Juan had a total of $10.35 pledged per mile, and walked 3 1/4 more miles than Alyssa.
Myisha walked .25 mile more than Alyssa, but her total pledge per mile was twice Juan's.
Tracy had the least amount per mile pledged.
Scott walked twice as far as Alyssa and had an total of $1.45 more per mile pledged than Juan.
Hint
Make a chart to figure out what the total pledge per mile to each person was, and how far each person walked.
Answer
Alyssa walked 5.75 miles and received a total of $101.78 to contribute to the shelter.
Juan walked 9 miles and received a total of $93.15 to contribute to the shelter.
Myisha walked 6 miles and received a total of $124.20 to contribute to the shelter.
Tracy walked 13.5 miles and received a total of $95.85 to contribute to the shelter.
Scott walked 11.5 miles and received a total of $135.70 to contribute to the shelter.
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Comments
hard!! but, very very clever
Found it easy-ish, but good fun!
I think this belongs in logic-grid, but w/e. Good job
I think this should be in a logic-grid too
really hard its too hard for me lol
Great Teaser! This one was fun. I think a logic grid would have made it too easy. It was fun to figure out how to set up my own grid in order to solve the problem. Good work!
good one
Jun 24, 2005
Great one! Looks really hard before you get into it. Was actually very easy when I started working it. Fun to work. Thanks!
thanks for all of the great comments
keep on writing!!
keep on writing!!
There is nothing logic-grid about this...it's a very cleverly presented math problem. The only small bit of logic you need to apply is making use of the minimum and maximum pledge and miles information.
Yes, it looked like it would be hard and then turned out to be much easier than it looked. Was still quite entertaining. Nice job!
Yes, it looked like it would be hard and then turned out to be much easier than it looked. Was still quite entertaining. Nice job!
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