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nikdorinn
18 days ago
11

In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one poin

t, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *
Mathematics
1 answer:
Svet_ta [12.7K]18 days ago
4 0
To provide clarity, consider this explanation: There are five runners on the team, and they finished consecutively. The total points earned are 55. Let's denote the position of the first runner as p. Therefore: 1st = p, 2nd = p + 1, 3rd = p + 2, 4th = p + 3, and 5th = p + 4. The sum of their placements equates to 55: (1st + 2nd + 3rd + 4th + 5th) = 55, simplifying to (p + p + 1 + p + 2 + p + 3 + p + 4) = 55, results in the equation: 5p + 10 = 55. Therefore, 5p = 45, leading to p = 9. Thus, their placements are: 1st = 9th, 2nd = 10th, 3rd = 11th, 4th = 12th, and 5th = 13th.
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