Question

brenda had bowling scores of 92, 110, 85, 78, and 96. she completed the steps below to determine the score she needs in her next game to have a mean, or average, bowling score of 96. step 1: find the total points needed to score in six games: 96 x 6 = 576. step 2: find the total points scored: 92 + 110 + 85 + 78 = 365. step 3: subtract the total points scored from the total points needed: 576 - 365 = 211. step 4: state the answer. brenda needs to score 211 in her next game. where did brenda make her first mistake? step 1 step 2 step 3 step 4

Explanation:

Step1: Calculate total needed points

The mean score for 6 games is 96. So the total points needed in 6 games is $96\times6 = 576$.

Step2: Calculate total points scored

The scores of the first 5 games are 92, 110, 85, 78, 96. The total points scored in 5 games is $92 + 110+85 + 78+96=461$.

Step3: Calculate points needed in next game

To find the points needed in the 6 - th game, we subtract the total points scored in 5 games from the total points needed in 6 games. So it is $576 - 461 = 115$.

Step4: Analyze error

Brenda made a mistake in Step 2. She miscalculated the total points scored in the first 5 games as $92 + 110+85 + 78=365$ instead of $92 + 110+85 + 78+96 = 461$.

Answer:

Step 2