Chapter 1.1, Problem 41E

To determine

To find the number of cartons $x$ when there are $162$ eggs and each carton contains $18$ eggs.

Answer to Problem 41E

The number of cartons is $9$ .

Explanation of Solution

Given:

Total number of eggs $=$$162$

Eggs in each carton $=$$18$

Formula Used:

The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.

Calculation:

Given:

Total number of eggs $=$$162$

Eggs in each carton $=$$18$

And number of cartons $=$$x$ .

Thus, the equation is :

  $C.18x=162$

Which is answer

To solve the equation, dividing $18$ on both the sides as “The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.”

  $\begin{array}{l}\frac{18x}{18}=\frac{162}{18}\\ x=9\end{array}$

Thus, the solution is $x=9$ .

Conclusion:

Hence, the number of cartons is $9$ .