Subjects arithmetic

Computer Percentages Dab6Ee

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem:** Find the percentage of laptops among all computers in the lab. 2. **Step 1:** Identify the total number of computers. Total computers = desktops + laptops = 14 + 16 = 30 3. **Step 2:** Use the percentage formula: $$\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100$$ 4. **Step 3:** Calculate the percentage of laptops: $$\text{Percentage of laptops} = \left(\frac{16}{30}\right) \times 100$$ 5. **Step 4:** Simplify the fraction: $$\frac{16}{30} = \frac{\cancel{16}}{\cancel{30}} = \frac{8}{15}$$ 6. **Step 5:** Calculate the decimal value: $$\frac{8}{15} \approx 0.5333$$ 7. **Step 6:** Multiply by 100 to get the percentage: $$0.5333 \times 100 = 53.33\%$$ **Answer:** Approximately 53.33% of the computers are laptops. --- 1. **Problem:** Find the percentage of computers operating properly when 3 out of 30 are out of service. 2. **Step 1:** Calculate the number of operating computers: $$30 - 3 = 27$$ 3. **Step 2:** Use the percentage formula: $$\text{Percentage operating} = \left(\frac{27}{30}\right) \times 100$$ 4. **Step 3:** Simplify the fraction: $$\frac{27}{30} = \frac{\cancel{27}}{\cancel{30}} = \frac{9}{10}$$ 5. **Step 4:** Calculate the decimal value: $$\frac{9}{10} = 0.9$$ 6. **Step 5:** Multiply by 100 to get the percentage: $$0.9 \times 100 = 90\%$$ **Answer:** 90% of the computers are operating properly.