Answered

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Iyler struggled with his math class early in the year, but he has been working hard to improve his scores. There is one test left, and he is hoping that his final average test score will be 75. What score will Tyler need to get on Test 6 to finish the year with an average score of 75?

\begin{tabular}{|l|l|}
\hline Test & Score \\
\hline Test 1 & 50 \\
\hline Test 2 & 52 \\
\hline Test 3 & 77 \\
\hline Test 4 & 88 \\
\hline Test 5 & 91 \\
\hline Test 6 & \\
\hline
\end{tabular}

A. 75
B. 85

Sagot :

GinnyAnsweridn
Let's determine the score Tyler needs on Test 6 to achieve an average score of 75.

First, let's list the scores he has received so far:

- Test 1: 50
- Test 2: 52
- Test 3: 77
- Test 4: 88
- Test 5: 91

The goal is to find the required score for Test 6 that will bring his average score to 75.

### Step-by-Step Solution

1. Sum of the Scores of the First Five Tests:
Add up the scores of the first five tests:

[tex]\( 50 + 52 + 77 + 88 + 91 = 358 \)[/tex]

2. Desired Average and the Number of Tests:
Tyler wants an average score of 75 across all 6 tests.

3. Formula for Average:
The formula to find the average score is:

[tex]\[ \text{Average} = \frac{\text{Sum of all scores}}{\text{Number of tests}} \][/tex]

4. Calculate the Total Sum Required for the Desired Average:
Since we know the average should be 75 and there are 6 tests, we can set up the equation to find the total sum of all 6 scores needed:

[tex]\[ 75 = \frac{\text{Sum of all scores}}{6} \][/tex]

Multiplying both sides by 6 to find the sum of all 6 tests:

[tex]\[ \text{Sum of all scores} = 75 \times 6 = 450 \][/tex]

5. Determine the Required Score for Test 6:
We now know the total sum that all 6 tests need to have, and we already have the sum of the first 5 tests:

[tex]\[ \text{Sum of scores for first 5 tests} + \text{Score on Test 6} = 450 \][/tex]

We know the sum of the first 5 tests is 358, so:

[tex]\[ 358 + \text{Score on Test 6} = 450 \][/tex]

Subtract 358 from 450 to find the score needed on Test 6:

[tex]\[ \text{Score on Test 6} = 450 - 358 = 92 \][/tex]

### Conclusion

Tyler needs to score 92 on Test 6 to achieve an average score of 75 across his six tests.
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