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In a group of 40 guests at a party. (1)/...

In a group of 40 guests at a party. `(1)/(5)` of the total number of guests opted for tomato soup, `(1)/(4)` of the guests chose to have vegetable soup, and the rest had fruit juice. Find the number of guests who had:
a. tomato soup

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To find the number of guests who had tomato soup, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the total number of guests**: The total number of guests at the party is given as 40. 2. **Determine the fraction of guests who opted for tomato soup**: According to the problem, \( \frac{1}{5} \) of the total number of guests opted for tomato soup. 3. **Calculate the number of guests who had tomato soup**: To find the number of guests who opted for tomato soup, we multiply the total number of guests by the fraction that opted for tomato soup: \[ \text{Number of guests for tomato soup} = \frac{1}{5} \times 40 \] 4. **Perform the multiplication**: \[ \frac{1}{5} \times 40 = \frac{40}{5} = 8 \] 5. **Conclusion**: Therefore, the number of guests who had tomato soup is 8. ### Final Answer: The number of guests who had tomato soup is **8**. ---
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