Multiple Choice Question

Question

Timothy runs a catering service for large parties. He needs 37 heads of lettuce for salad to feed 100 guests. Which of the following ratios illustrates how many heads of lettuce, x, he would need to feed 275 guests?

Answer 1

To determine how many heads of lettuce Timothy would need to feed 275 guests, we can set up a proportion based on the information given.

We know from the problem that:

• 37 heads of lettuce are needed to feed 100 guests.

We can express this as a ratio: \[ \frac{37 \text{ heads}}{100 \text{ guests}} \]

We want to find out how many heads of lettuce \( x \) are needed for 275 guests. This can be expressed as: \[ \frac{x \text{ heads}}{275 \text{ guests}} \]

Now we can set up the proportion: \[ \frac{37}{100} = \frac{x}{275} \]

To solve for \( x \), we can cross-multiply: \[ 37 \times 275 = 100 \times x \]

This means: \[ x = \frac{37 \times 275}{100} \]

Now you can calculate \( x \) to find out how many heads of lettuce are needed for 275 guests.

Thus, the ratio that illustrates how many heads of lettuce \( x \) he would need to feed 275 guests is: \[ \frac{37}{100} = \frac{x}{275} \]

This is the correct representation for the problem.