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 times 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 minus 365 = 211. Step 4: State the answer: Brenda needs to score 211 in her next game. Where did Brenda make her first mistake?

Answer 1

Answer:

The mistake is evidently in the addition of the first 5 bowling scores

Step-by-step explanation:

Brenda had bowling scores 92, 110, 85, 78, and 96.

She needs one more bowl to get an average of 96.

Let the last bowl score = x

(92 + 110 + 85 + 78 + 96 + x)/6 = 96

(92 + 110 + 85 + 78 + 96 + x) = 96×6 = 576

461 + x = 576

x = 576 - 461 = 115

The mistake is evidently in the addition of the first 5 bowling scores, the score for the 5th bowl was excluded, maybe because it was coincidentally 96 too.

She added (92 + 110 + 85 + 78) instead of (92 + 110 + 85 + 78 + 96), so, the score needed for the last bowl to get an average of 96 is actually 115, not 211.

Hope this Helps!!!

Answer 2

Answer:

Missing to add are last game score of 96 to her total points scored

That is;

92 + 110 + 85 + 78 = 365 instead of

92 + 110 + 85 + 78 + 96 = 461

Step-by-step explanation:

Here we have

Brenda needed to make an average of 96 on her bowling scores, however, she makes an an error in her calculation as follows

She calculated are current bowling scores as

92 + 110 + 85 + 78 = 365 instead of

92 + 110 + 85 + 78 + 96 = 461

Then she subtracts her total point from the calculated 576 to get the score she needs on her next bowling as follows

576 - 461 = 115

She needs to score 115 on her next game.