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?
A.
37/100 = x/275


B.
x/100 = 37/275


C.
100/275 = x/37

D.
100/37 = x/275

Answer 1

To determine how many heads of lettuce Timothy would need to feed 275 guests using the ratio of heads of lettuce to guests, we can set up a proportion.

Given that Timothy needs 37 heads of lettuce for 100 guests, we want to find the number of heads of lettuce \( x \) needed for 275 guests. This can be expressed in the following ratio format:

\[ \frac{37 \text{ heads}}{100 \text{ guests}} = \frac{x \text{ heads}}{275 \text{ guests}} \]

Rearranging this gives us:

\[ \frac{37}{100} = \frac{x}{275} \]

Thus, the correct answer is:

A. \( \frac{37}{100} = \frac{x}{275} \)