A caterer has determined that the amount of meat to order for a particular entree varies proportionally to the number of guests. If there are 25 guests, the caterer needa to ordeer 40 poundds of meat. How much meat should the caterer order if there are 100 guests.
If the amount of meat varies proportionally to the number of guests, we can set up a proportion:
25 guests --> 40 pounds
100 guests --> x pounds
Using cross multiplication:
25 * x = 40 * 100
25x = 4000
x = 4000 / 25
x = 160
Therefore, the caterer should order 160 pounds of meat if there are 100 guests.