A caterer has determined that the amount of meat to order for a particular entrée varies proportionally to the number of guests. If there are 25 guests, the caterer needs to order 40 pounds of meat. How much meat should the caterer order if there are 100 guests?(1 point)

Responses

16 pounds
16 pounds

625 pounds
625 pounds

160 pounds
160 pounds

62.5 pounds

1 answer

To find out how much meat the caterer should order for 100 guests based on the information provided, we can start by determining the ratio of meat needed per guest.

The caterer requires 40 pounds of meat for 25 guests:

\[ \text{Meat per guest} = \frac{40 \text{ pounds}}{25 \text{ guests}} = 1.6 \text{ pounds per guest} \]

Now, we can calculate the amount of meat needed for 100 guests:

\[ \text{Meat for 100 guests} = 100 \text{ guests} \times 1.6 \text{ pounds per guest} = 160 \text{ pounds} \]

Thus, the caterer should order 160 pounds of meat for 100 guests.