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
The answer is B. x/100 = 37/275.
In this problem, the ratio of heads of lettuce to guests is constant. To find how many heads of lettuce are needed for 275 guests, we set up a proportion:
x/100 = 37/275
We can cross-multiply and solve for x:
x * 275 = 37 * 100
275x = 3700
Dividing both sides by 275:
x = 3700/275
Simplifying the right side:
x = 74/5
So, Timothy would need approximately 14.8 heads of lettuce to feed 275 guests.