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Dante has scored 30, 18, and 28 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 26 points per game

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Answer:

28

Explanation:

Givens

Game 1: 30

Game 2: 18

Game 3: 28

Game 4: x

Solution

(30 + 18 + 28 + x) / 4 = 26 Multiply both sides by 4

4* (30 + 18 + 28 + x) / 4 = 26 * 4 The 4s on the left cancel

30 + 18 + 28 + x = 104 Add the 3 other numbers together

76 + x = 104 Subtract 76 from both sides.

76-76+x = 104-76 The 76s on the left disappear.

x = 28

Answer

in the next game he must score 28 points to average 26

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