Pregunta
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To get a B in math, Alexandria Pappas must average at least 80 on her five tests. Scores on the first four tests were \( 82,78,82 \), and 77 . What is the lowest score that she can get on the last test and still get a B? The lowest possible score on the last test for getting a B is

Ask by Park Morrison. in the United States
Mar 09,2025

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The lowest score Alexandria can get on the last test to still earn a B is 81.

Solución

We need to find \( x \) such that the average of the five tests is at least 80. The first four test scores are 82, 78, 82, and 77. 1. Calculate the sum of the first four tests: \[ 82 + 78 + 82 + 77 = 319 \] 2. Let \( x \) be the score on the fifth test. The condition for averaging at least 80 is: \[ \frac{319 + x}{5} \geq 80 \] 3. Multiply both sides of the inequality by 5: \[ 319 + x \geq 400 \] 4. Solve for \( x \): \[ x \geq 400 - 319 = 81 \] Thus, the lowest score Alexandria can get on the last test to still earn a B is \( 81 \).

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Bonus Knowledge

To find out the lowest score Alexandria needs on her last test, we first calculate the total score she needs for an average of 80 over five tests. This total is \( 80 \times 5 = 400 \). Next, we sum her current scores: \( 82 + 78 + 82 + 77 = 319 \). Now, we subtract this sum from the total score needed: \( 400 - 319 = 81 \). So, the lowest score Alexandria can achieve on her final test while still earning a B is **81**. Isn't it fascinating how setting goals, like aiming for a B, helps us stay focused? Just remember, every test is a chance to learn and improve, so even if she doesn't hit the target, there's always room for growth! And did you know? Many successful mathematicians re-take tests or use extra practice to master concepts. So, whether it's a small study group or online resources, there's always a path to paving your way to success!

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