Math Problem Statement
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 .
Step 1: Calculate the current total score. The sum of her first three scores:
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:
Step 3: Solve for . Multiply both sides by 4: Subtract 230 from both sides:
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:
- How would the required score change if Jasmine had 5 tests instead of 4?
- What would Jasmine's average be if she scored 80 on her next test instead of 90?
- How does the mean differ from the median in this context?
- What if Jasmine wanted to achieve a 90% average instead of 80%—what would the new required score be?
- 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