In my math class tests are 70% and homework is 30% so if i wanted at least an 80% how much would be the least percentage i needed in each category

To determine the minimum percentage you need in each category to achieve at least an 80% overall grade, follow these steps:

Step 1: Identify the weights of each category:
- Test weight = 70%
- Homework weight = 30%

Step 2: Determine the grade needed for each category:
- (Test grade * Test weight) + (Homework grade * Homework weight) = Overall grade

Step 3: Set up the equation:
- X = Test grade (unknown)
- Y = Homework grade (unknown)
- (X * 70%) + (Y * 30%) = 80%

Step 4: Solve the equation for X:
- To get the least percentage you need in each category, let's assume you achieve a perfect score in the homework category (30% weight), since it is easier to score higher on homework. This means Y = 100%.
- (X * 70%) + (100% * 30%) = 80%
- X * 70% + 30% = 80%
- X * 70% = 50%
- X = 50% / 70%
- X = 0.714 (approximately)

Therefore, to achieve at least an 80% overall grade, you would need a minimum of around 71.4% in the test category and 100% in the homework category.