27. 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 half remaining for the other three friends. When this remaining half is divided equally among the three friends, each one receives 1/6 of the whole pizza.
A) 1/3
This option is incorrect because if each of the three friends received 1/3 of the pizza, that would total 1 whole pizza (1/3 + 1/3 + 1/3 = 1). Since one friend has already eaten half, this division cannot be accurate.
B) 1/5
This option is also incorrect. If each of the three friends received 1/5 of the pizza, they would collectively receive 3/5 (1/5 + 1/5 + 1/5 = 3/5), which exceeds the remaining amount of half a pizza after one friend ate half.
C) 1/6
This option is correct. With half of the pizza remaining after one friend eats, dividing that half by three friends results in each friend getting 1/6 of the entire pizza (1/2 ÷ 3 = 1/6).
D) 1/4
This option is incorrect because if each of the three friends received 1/4 of the pizza, they would collectively receive 3/4 of the pizza (1/4 + 1/4 + 1/4 = 3/4). This amount exceeds the half that is left after one friend has eaten.
Conclusion
The correct answer is 1/6 because it accurately reflects the distribution of the remaining half of the pizza among the three friends. All other options fail to represent the correct division, either exceeding the available portion or miscalculating the shares based on the initial consumption.