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Question
jacob has golf scores of 120, 112, 130, 128, and 124. he wants to have a mean, or average, golf score of 118. what score does he need in his next golf game to achieve this mean score?
needed in next golf game
Step1: Calculate sum of current scores
$120 + 112 + 130 + 128 + 124 = 614$
Step2: Define variable for new score
Let $x$ = next game score. Total games = 6.
Step3: Set up mean equation
$\frac{614 + x}{6} = 118$
Step4: Solve for $x$
Multiply both sides by 6: $614 + x = 118 \times 6 = 708$
Subtract 614: $x = 708 - 614 = 94$
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