Math Problem Statement

Jasmine made the following scores on her first 3 math tests: 76, 75, 79. What is the minimum score she would need to make on her next test to increase her test average (mean) to an 80%?

Solution

We are tasked with finding the minimum score Jasmine would need to score on her next test to raise her average to 80%.

Given Information:

  • Jasmine's first three scores: 76, 75, 79.
  • Desired average: 80%.

Let the required score on the fourth test be xx.

Step 1: Calculate the current total score. The sum of her first three scores: 76+75+79=23076 + 75 + 79 = 230

Step 2: Set up the equation for the desired average. To get an average of 80% across 4 tests, the sum of all four scores should be: 230+x4=80\frac{230 + x}{4} = 80

Step 3: Solve for xx. Multiply both sides by 4: 230+x=320230 + x = 320 Subtract 230 from both sides: x=90x = 90

Thus, Jasmine needs to score 90 on her next test to achieve an average of 80%.

The correct answer is (c) 90.


Would you like more details or have any questions? Here are some related questions you could explore:

  1. How would the required score change if Jasmine had 5 tests instead of 4?
  2. What would Jasmine's average be if she scored 80 on her next test instead of 90?
  3. How does the mean differ from the median in this context?
  4. What if Jasmine wanted to achieve a 90% average instead of 80%—what would the new required score be?
  5. How do weighted averages work if some tests have more importance than others?

Tip: The mean or average can be found by summing all the values and dividing by the total number of items!

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Math Problem Analysis

Mathematical Concepts

Averages
Algebra
Linear Equations

Formulas

Average = (Sum of scores) / (Number of scores)

Theorems

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Suitable Grade Level

Grades 6-8