15. Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
Answer: C
Each of the other three friends received 1/6 of the pizza.
After one friend consumes half of the pizza, there is a remaining half to be divided among the other three friends. Each friend, therefore, receives one-third of that remaining half, which calculates to 1/6 of the entire pizza.
A) 1/5
This option is incorrect because if each of the three friends received 1/5 of the pizza, that would total 3/5 of the pizza, leaving too much pizza unaccounted for, as the first friend already ate half.
B) 1/4
This option is also incorrect. If each of the three friends received 1/4 of the pizza, they would collectively consume 3/4 of the pizza, which exceeds the amount available after one friend has eaten half.
C) 1/6
This option is correct as it accurately reflects the division of the remaining half of the pizza among the three friends. After one friend eats half, there is 1/2 left, and dividing that by three yields 1/6 for each friend.
D) 1/3
This option is incorrect because if each of the three friends received 1/3 of the pizza, they would collectively consume 1 whole pizza, which is impossible since only half was left after one friend ate their portion.
Conclusion
The correct answer is 1/6, as it correctly represents the portion each of the three remaining friends receives from the half of the pizza left after one friend consumed the other half. The other options misrepresent the division of the pizza, leading to incorrect totals that do not align with the initial conditions of the problem.