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Goran has scored \( 78,84,59 \), and 74 on his previous four tests. What score does he need on his next test so that his average (mean) is 78 ? Iİ

Ask by Ford Harper. in the United States
Mar 12,2025

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Goran needs to score 95 on his next test to have an average of 78.

Solución

To find the score Goran needs on his next test so that his average (mean) is 78, we can use the formula for the mean: \[ \text{Mean} = \frac{\text{Sum of all scores}}{\text{Number of tests}} \] Given that Goran has scored 78, 84, 59, and 74 on his previous four tests, we can calculate the sum of these scores: \[ \text{Sum of previous scores} = 78 + 84 + 59 + 74 = 295 \] Since Goran wants his average to be 78, we can set up the equation: \[ \frac{295 + x}{5} = 78 \] where \( x \) is the score Goran needs on his next test. Now, we can solve for \( x \) to find the score Goran needs on his next test. Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{295+x}{5}=78\) - step1: Cross multiply: \(295+x=5\times 78\) - step2: Simplify the equation: \(295+x=390\) - step3: Move the constant to the right side: \(x=390-295\) - step4: Subtract the numbers: \(x=95\) Goran needs a score of 95 on his next test so that his average (mean) is 78.

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Mind Expander

To find the score Goran needs on his next test for an average of 78, we first calculate the total score required for five tests. Since the average is 78, the total score should be \( 78 \times 5 = 390 \). Next, we sum his current scores: \( 78 + 84 + 59 + 74 = 295 \). To find the score needed on the next test (let's call it \( x \)), we set up the equation: \[ 295 + x = 390 \] Solving for \( x \): \[ x = 390 - 295 \] \[ x = 95 \] So, Goran needs to score 95 on his next test to achieve an average of 78. If Goran wants to boost his score or get extra marks, planning some study sessions on the topics he finds toughest could help. He might also want to look into past test papers to familiarize himself with the question patterns. It's all about focusing on your weaknesses while reinforcing your strengths! A common mistake students make is not considering how their current scores impact their overall goal. Always double-check your calculations and have a plan for improvement—like practice tests or group study sessions! Sometimes, it's just about a little extra effort on that next exam!

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