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 5¾ miles to 13½ 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 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 3¼ 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 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.
