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:
b. vegetable soup

Answer

To find the number of guests who had vegetable soup, we can follow these steps:

### Step 1: Identify the total number of guests
The total number of guests at the party is given as 40.

### Step 2: Calculate the number of guests who opted for vegetable soup
We know that \( \frac{1}{4} \) of the total number of guests chose vegetable soup. To find this, we multiply \( \frac{1}{4} \) by the total number of guests:

\[ \text{Number of guests who had vegetable soup} = \frac{1}{4} \times 40 \]

### Step 3: Perform the multiplication
Calculating \( \frac{1}{4} \times 40 \):

\[ \frac{1}{4} \times 40 = \frac{40}{4} = 10 \]

### Step 4: Conclusion
Thus, the number of guests who had vegetable soup is 10.

### Final Answer
10 guests had vegetable soup.

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