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?
First, we need to determine the ratio of lettuce to guests. We can do this by dividing the number of heads of lettuce by the number of guests: 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 the fraction gives us: x = 10.175
So Timothy would need approximately 10 heads of lettuce to feed 275 guests.
The ratio that represents this is: x/275 = 10/100