Walk for Your Heart -- A Simple Math Problem
The Bo Bibble County Hospital sponsored a "Walk for Your Heart" contest in which various prizes were awarded to participants based on the number of days and miles they walked over a four-month period. The contest covered 122 days -- the 31 days of March, the 30 days of April, the 31 of May and the 30 of June.
The participants walked in groups. Some groups walked one mile per day, some two miles per day, some three, some four and some five.
From the information provided, determine the total number of days each of our four participants walked and the total number of miles each logged in the contest.
Delila Danks walked with the five-mile-a-day group, missing only six days in the four-month period.
Eddie Earl Edwards walked only with the three-mile-a-day group, beginning on April 15 and not missing a day from that point on.
Malco Mudd began the contest with the one-mile-a-day group, walking 15 days in March. On April 1, he switched groups and walked the entire month of April with the two-mile-a-day group. Continuing with the the two-mile group, he logged 19 days in May and 21 in June.
Jolene Farquire switched around in the groups. In March, she walked 10 days with Malco Mudd; four days in the three-mile group; and three in the five-mile group. In April, she walked five days with Malco, five days in the three-mile group and five days with Delila Danks. In May, she walked five days with Malco, seven days with Eddie Earl Edwards and eight days with the five-mile group. In June, she walked 10 days with Eddie Earl and 10 with Delila.
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