Question

If a 3-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices? (1 pound = 16 ounces)
(A). 4
(B). 6
(C). 8
(D). 16

Answer 1

Hint: First of all, we have to find the weight of the half slice of the 3-pounds pizza. Then, find the weight of the one-third part of the half sliced pizza. Finally, convert the weight ounces using the information that 1 pound = 16 ounces.

Complete step-by-step solution -
In the question, it is given that a pizza weighing 3-pounds is sliced half and then, each half is sliced into its one- third. We have to find the weight of each slice in ounces.
The weight of the pizza = 3 pounds …………………………(1)
In case \[{{1}^{st}}\] , the pizza is divided into its half. It means that the pizza is divided into two parts and both parts are equal to each other.
From equation (1), we have the weight of the pizza.
The weight of each half slice of the pizza = \[\dfrac{3}{2}=1.5\] pounds …………………………..(2)
In case \[{{2}^{nd}}\] , the half-sliced pizza is divided into its one third. It means that the half-sliced pizza is divided into three parts and all three parts are equal to each other.
From equation (2), we have the weight of the half-sliced pizza.
The weight of each one third sliced part of the half pizza = \[\dfrac{1.5}{3}=0.5\] pounds …………………………..(3)
In the question, it is given that 1 pound is equal to 8 ounces.
1 pound = 16 ounces ………………………………..(4)
From equation (3), we have the weight of each one-third sliced part of the half pizza, and using equation (4), we can convert it into ounces.
Converting the weight in pounds to ounces, we get
The weight of each one third sliced part of the half pizza = \[0.5\] pounds.
\[0.5\times 16\text{ ounces = 8 ounces}\] .
So, the weight of each one-third sliced part of the half pizza is 8 ounces.
Hence, the correct option is 8 ounces.

Note: In this question, one might find the weight of the one-third part of the 3-pounds pizza and conclude it as the answer. This is wrong. Here, it is not asked to find the weight of the one-third part of the 3-pounds pizza and conclude it as the answer. In the question, it is asked to find the weight of the one-third part of the half sliced part of the pizza.