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Candy and sandy compete in more than one event. no one else competes. In each event, the winner gets the counting number of points W and the loser gets the smaller counting number of points L. There are no ties. candy wins the competition by a score of 22 to 13. If sandy wins exactly one event, what is the value of W?

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Answer:

22

Step-by-step explanation:

Let W be the number of winner points and L be the number of loser points. The total number of points is 22 + 13 = 35. Total number of win points + total number of loser points = 35. So W + L = 35. The difference between the total number of winner points and loser points is 22 - 13 = 9. So, W - L = 9. Now we have two simultaneous equations.

W + L = 35

W - L = 9 adding the two equations, we have

2W = 44

W = 44/2 = 22

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