Question
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Jake isn't doing well in American History. For example, he made a 67 on his first test. His second test was even worse; he scored only a 52 on it. What does Jake need to score on the next test to have a test average of 70 ?

Ask by Ortiz Salinas. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Jake needs to score 91 on the next test to have an average of 70.

Solution

**Step 1: Define the variable** Let \( x \) be the score Jake needs on the next test. --- **Step 2: Set up the equation** Jake wants his average score over three tests to be \( 70 \). The equation for the average is: \[ \frac{67 + 52 + x}{3} = 70 \] --- **Step 3: Sum the known test scores** \[ 67 + 52 = 119 \] The equation becomes: \[ \frac{119 + x}{3} = 70 \] --- **Step 4: Solve for \( x \)** Multiply both sides of the equation by \( 3 \) to eliminate the denominator: \[ 119 + x = 70 \times 3 \] Calculate the right side: \[ 119 + x = 210 \] Subtract \( 119 \) from both sides: \[ x = 210 - 119 \] \[ x = 91 \] --- **Step 5: Conclusion** Jake needs to score \( \boxed{91} \) on the next test to have an average of \( 70 \).

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The Deep Dive

To calculate the score Jake needs on his next test, we first find the total points he needs from all three tests to achieve an average of 70. Since averages are calculated by dividing the total points by the number of tests, Jake needs a minimum of 70 x 3 = 210 points across all three tests. Currently, he has scored 67 + 52 = 119 points from his first two tests. This means he needs 210 - 119 = 91 points on his next test to reach an average of 70. So, long story short, it’s time for Jake to hit the books and aim for that goal!

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