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)

Question

Responses

625 pounds
625 pounds

62.5 pounds
62.5 pounds

160 pounds
160 pounds

16 pounds
16 pounds

Answer 1

To determine how much meat the caterer should order for 100 guests, we can use the concept of proportionality.

From the information provided:

• 25 guests require 40 pounds of meat.

We can calculate the amount of meat needed per guest:

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

Now, to find out how much meat is needed for 100 guests, we can multiply the amount of meat per guest by the number of guests:

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

So, the caterer should order 160 pounds of meat for 100 guests. The correct response is:

160 pounds.