Subjects algebra

Tablet Angle 51980B

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1. **State the problem:** We have a pie chart showing sales of electronic devices in April with total sales of 900 units. The central angle for tablets is 50°. 2. **Find the number of tablets sold in April:** The total angle in a pie chart is 360°. The fraction of tablets sold is $\frac{50}{360}$. Number of tablets sold in April = $900 \times \frac{50}{360} = 125$ tablets. 3. **Calculate tablets sold in May:** The shop sold 60% more tablets in May than in April. Tablets sold in May = $125 + 0.6 \times 125 = 125 \times 1.6 = 200$ tablets. 4. **Calculate total devices sold in May:** Desktop computers, laptops, and mobile phones sales remain the same as April. Sum of April sales for desktop, laptop, and mobile = - Desktop: $900 \times \frac{80}{360} = 200$ units - Laptop: $900 \times \frac{146}{360} = 365$ units - Mobile phone: $900 \times \frac{84}{360} = 210$ units Total May sales = $200 + 365 + 210 + 200 = 975$ units. 5. **Find the central angle for tablets in May:** The central angle is proportional to the fraction of tablets sold. Central angle for tablets in May = $360 \times \frac{200}{975} = 73.8461538...$ degrees. Rounded to 1 decimal place: $73.8^\circ$. **Final answer:** The central angle of the tablets section in May's pie chart is **73.8°**.