A caterer has determined that the amount of meat to order for a particular entree 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?

Question

answers:

16 pounds

625 pounds

160 pounds

62.5 pounds

Answer 1

To determine the amount of meat needed for 100 guests, we start by establishing the proportion based on the information given.

From the caterer's data:

• For 25 guests, 40 pounds of meat is needed.

We can set up the proportion as follows:

\[ \frac{40 \text{ pounds}}{25 \text{ guests}} = \frac{x \text{ pounds}}{100 \text{ guests}} \]

Now, we can solve for \(x\):

1. Cross-multiply to find \(x\):

\[ 40 \text{ pounds} \times 100 \text{ guests} = 25 \text{ guests} \times x \text{ pounds} \]

\[ 4000 = 25x \]

2. Now, divide both sides by 25:

\[ x = \frac{4000}{25} = 160 \]

The caterer should order 160 pounds of meat for 100 guests.

Thus, the answer is 160 pounds.

Answer 2

are you sure

Answer 3

Yes, let's double-check the calculations step-by-step to ensure the accuracy of the result:

1. Determine the amount of meat per guest based on the initial data:

   • When there are 25 guests, the caterer orders 40 pounds of meat.
   • Therefore, the amount of meat per guest is:

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

2. Calculate the amount of meat needed for 100 guests:

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

So, the calculations confirm that the caterer should indeed order 160 pounds of meat for 100 guests.

The original conclusion is accurate. If you have any further questions or need clarification, feel free to ask!