Question

ANALYZING RELATIONSHIPS A baker orders 162 eggs.Each carton contains 18 eggs. Which equation canyou use to find the number x of cartons? Explain yourreasoning and solve the equation.a. In words what is the problem asking you to solve?b. What variable are you going to use to represent what you are trying tofind?c. Create an equation that used the variable and will help you solve theproblem.d. What is the answer to the word problem?

Answer 1

Total number of eggs ordered = 162

Let "x" represent the number of cartons

Since each carton can contain 18 eggs , we have that

`\begin{gathered} \text{number of cartons, }x\text{ = }(162)/(18)\text{ } \\ \text{Thus, 18x = 162} \end{gathered}`

(a) In words what is the problem asking you to solve?

The problem is asking us to find the number of cartons that will contain all 162 eggs if each carton can contain 18 eggs

(b) What variable are you going to use to represent what you are trying to

find?

Let "x" represent the number of cartons

(c) Create an equation that used the variable and will help you solve the

problem

Using the same equation derived above, we have that

18x = 162

(d) What is the answer to the word problem?

To obtain the answer to the word problem, we will solve the equation and get the value of "x"

`\begin{gathered} 18x\text{ = 162} \\ x\text{ = }(162)/(18)\text{ = 9} \end{gathered}`

Hence, the number of cartons that will completely accomodate all 162 eggs if each carton can contain 18 eggs is 9 cartons