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?
Since the ratio of heads of lettuce to guests is consistent, we can set up the proportion:
37 heads of lettuce / 100 guests = x heads of lettuce / 275 guests
Cross multiplying gives us:
100x = 37 * 275
Dividing both sides by 100 gives us:
x = (37 * 275) / 100
Simplifying:
x = 10137 / 100
x = 101.37
Therefore, Timothy would need approximately 101.37 heads of lettuce to feed 275 guests.
The correct ratio is: 37 heads of lettuce / 100 guests = x heads of lettuce / 275 guests.