Subjects algebra

Web Shops Growth 407Ec1

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

Use the AI math solver

1. **Stating the problem:** We want to find the number of web shops in 2021 and the number of clothing stores in 2021 based on the given data. 2. **Given data:** - Number of web shops in 2020: 58,000 - Increase from 2020 to 2021: 35% (or 0.35) - In 2021, 25% of all web shops were clothing stores - In 2019, 28% of all web shops sold clothing (quantity unknown) 3. **Calculate the number of web shops in 2021:** The formula for percentage increase is: $$\text{New amount} = \text{Original amount} \times (1 + \text{percentage increase})$$ So, $$\text{Web shops in 2021} = 58,000 \times (1 + 0.35)$$ 4. **Intermediate calculation:** $$= 58,000 \times 1.35$$ 5. **Calculate:** $$= 78,300$$ So, there were 78,300 web shops in 2021. 6. **Calculate the number of clothing stores in 2021:** Since 25% of all web shops in 2021 were clothing stores, $$\text{Clothing stores in 2021} = 0.25 \times 78,300$$ 7. **Calculate:** $$= 19,575$$ **Final answers:** - Number of web shops in 2021: $78,300$ - Number of clothing stores in 2021: $19,575$