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A long-distance race begins with 15 runners from Team J and 15 runners from Team K.3 runners from Team J and 2 runners from Team K do not finish the race. What percentage of the runners who finish the race are from team J?46%48%50%52%54%

Question

A long-distance race begins with 15 runners from Team J and 15 runners from Team K.3 runners from Team J and 2 runners from Team K do not finish the race. What percentage of the runners who finish the race are from team J?46%48%50%52%54%

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Solution

To solve this problem, we first need to determine the total number of runners who finished the race.

Step 1: Calculate the total number of runners who did not finish the race. This is 3 runners from Team J and 2 runners from Team K, which totals to 5 runners.

Step 2: Subtract the number of runners who did not finish from the total number of runners. The total number of runners is 15 from Team J and 15 from Team K, which is 30 runners. Subtracting the 5 runners who did not finish gives us 25 runners who finished the race.

Step 3: Calculate the number of runners from Team J who finished the race. This is the total number of runners from Team J (15) minus the number who did not finish (3), which gives us 12 runners.

Step 4: Calculate the percentage of runners who finished the race that are from Team J. To do this, divide the number of runners from Team J who finished the race (12) by the total number of runners who finished the race (25). This gives us 0.48, or 48%.

So, 48% of the runners who finished the race are from Team J.

This problem has been solved

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