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 there are 37 heads of lettuce for 100 guests, the ratio of heads of lettuce to guests is 37/100.
To find out how many heads of lettuce he would need for 275 guests, we can set up a proportion:
(37/100) = (x/275)
To solve for x, we can cross-multiply:
100x = 37 * 275
x = (37 * 275)/100
x ≈ 101.75
Therefore, Timothy would need approximately 101.75 heads of lettuce to feed 275 guests.
The ratio that illustrates this is 37/100 = x/275.