Questions: Jason scored 75, 99, 87, 89, and 91 on his class tests so far. What is the lowest score Jason needs to get on his next test to have an average test score of at A 99 B 100 C 89 D 16.5

Jason scored 75, 99, 87, 89, and 91 on his class tests so far. What is the lowest score Jason needs to get on his next test to have an average test score of at A 99 B 100 C 89 D 16.5
Transcript text: Jason scored 75, 99, 87, 89, and 91 on his class tests so far. What is the lowest score Jason needs to get on his next test to have an average test score of at A 99 B 100 C 89 D 16.5
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Solution

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Solution Steps

To find the lowest score Jason needs on his next test to achieve a desired average, we first calculate the total score required for all tests to reach that average. Then, we subtract the sum of his current scores from this total to find the score needed on the next test.

Step 1: Calculate the Total Score Needed

To find the total score required for Jason to achieve an average of \( 99 \) over \( 6 \) tests, we use the formula:

\[ \text{Total Needed} = \text{Desired Average} \times \text{Number of Tests} = 99 \times 6 = 594 \]

Step 2: Calculate the Current Total Score

Next, we calculate the sum of Jason's current scores:

\[ \text{Current Total} = 75 + 99 + 87 + 89 + 91 = 441 \]

Step 3: Determine the Score Needed on the Next Test

To find the score Jason needs on his next test, we subtract the current total from the total needed:

\[ \text{Score Needed} = \text{Total Needed} - \text{Current Total} = 594 - 441 = 153 \]

Final Answer

The lowest score Jason needs to achieve on his next test to have an average of \( 99 \) is \\(\boxed{153}\\).

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