Austin bought 5 pizzas for the football team. Each player is going to eat Start Fraction 2 over 3 End Fraction of a pizza. What is the greatest number of players that he can feed?
A. 6
B. 7
C. 8
D. 9
Each pizza can be divided into 3 parts, and each part can be further divided into 2 smaller parts. So, each pizza can be divided into 6 parts, each equivalent to Start Fraction 1 over 6 End Fraction of the pizza.
Therefore, the total number of parts available from 5 pizzas is:
5 x 6 = 30 parts
Each player eats Start Fraction 2 over 3 End Fraction of a pizza, which is equivalent to 4 parts (2 parts out of the 6 parts in each pizza).
To find the greatest number of players that can be fed, we need to divide the total number of parts by 4.
30 ÷ 4 = 7 with a remainder of 2
This means that Austin can feed 7 players with full 4 parts each, and the remaining 2 parts can be shared between 2 more players.
Therefore, the greatest number of players that can be fed is 7 + 2 = 9.
The answer is D. 9.