Question

If you have a gross of items, you have 144 items. If you buy a gross of eggs, how many dozen eggs do you have?

Answer 1

Hint: Here, we will use the given condition to form an equation. Then we will find the number of dozen eggs by dividing a gross of eggs by a dozen of eggs. One dozen of an object or product contains 12 units of the product.

Complete Step by Step Solution:
We are given that in a gross of items we have 144 items.
We are given that we have bought a gross of eggs. Now, we will find the number of eggs.
Gross of eggs \[ = 144\] Eggs
Now, we will find the number of dozen eggs in a gross of eggs.
We know that the dozen of items is a group of items in Twelve i.e.,
A Dozen of items \[ = 12\] items in a Pack.
Now, we will find the number of dozen eggs in a gross of eggs.
We can find the number of dozens of eggs in a gross of eggs by dividing the total number of eggs in a gross of eggs by a dozen of eggs.
Let \[x\] be the number of dozens of eggs in a gross of eggs.
Thus, we can write the equation
\[x\] dozen \[ = \dfrac{{1{\rm{Gross}}}}{{12}}\]
Now, by substituting Gross of eggs \[ = 144\] eggs in the above equation, we get
\[ \Rightarrow x = \dfrac{{144}}{{12}}\]
Now, by dividing, we get
\[ \Rightarrow x = 12\]

Therefore, we have 12 Dozen of eggs in a Gross of eggs or Dozen of Dozen of eggs.

Note:
We know that the equation formed by the given data is in the form of a linear equation in one variable. We know that a linear equation is defined as an equation with the highest degree as one. Linear equations are a combination of constants and variables. Constants are the numbers whereas variables are represented in letters. We should also know that every linear equation in one variable has a one and unique solution. We can solve the linear equation easily.