At a banquet, the ratio of hot drinks to cold drinks was 5 to 3. A total of 400 drinks were served. How many were hot?

5/8 = x/400

Cross multiply and solve for x.

8x = 2000

x= 250

thanks

To find the number of hot drinks, we need to determine the ratio of hot drinks to the total number of drinks and then calculate accordingly.

Given that the ratio of hot drinks to cold drinks is 5 to 3, we can assume that for every 5 units of hot drinks, there are 3 units of cold drinks.

To determine the total number of units in this ratio, we add the two parts together: 5 (hot drinks) + 3 (cold drinks) = 8 (total parts).

Since we know that a total of 400 drinks were served, we can divide this number by the total parts of the ratio to find the value of each part: 400 drinks ÷ 8 parts = 50 drinks per part.

Now that we know each part represents 50 drinks, we can determine the number of hot drinks by multiplying the ratio's hot part (5) by the value per part (50): 5 (hot part) * 50 (drinks per part) = 250 hot drinks.

Therefore, there were 250 hot drinks served at the banquet.