The relationship between the amount of meat ordered and the number of guests is proportional. This means we can set up a ratio based on the information provided.
From the problem, we know that:
- When there are 25 guests, the caterer orders 40 pounds of meat.
We can express this as a ratio:
\[ \frac{\text{pounds of meat}}{\text{number of guests}} = \frac{40 \text{ pounds}}{25 \text{ guests}} \]
To find out how much meat to order for 100 guests, we can set up the following proportion:
\[ \frac{40 \text{ pounds}}{25 \text{ guests}} = \frac{x \text{ pounds}}{100 \text{ guests}} \]
Where \( x \) is the amount of meat to order for 100 guests. Cross-multiplying gives us:
\[ 40 \times 100 = 25 \times x \]
Calculating the left side:
\[ 4000 = 25x \]
Now, solve for \( x \) by dividing both sides by 25:
\[ x = \frac{4000}{25} = 160 \]
Therefore, the caterer should order 160 pounds of meat for 100 guests.
1 answer