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 62.5 pounds 62.5 pounds 160 pounds 160 pounds 16 pounds 16 pounds 625 pounds

Answer 1

The amount of meat needed is proportional to the number of guests. We can set up a ratio based on the information given:

If there are 25 guests, the caterer needs 40 pounds of meat. Therefore, we can write the ratio of meat to guests as follows:

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

To find \( x \), we can cross-multiply:

\[ 40 \times 100 = 25 \times x \]

This simplifies to:

\[ 4000 = 25x \]

Now, divide both sides by 25:

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

Therefore, if there are 100 guests, the caterer should order 160 pounds of meat.