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Edmond bought a new cage for his pet rabbit since he's gotten so big. The area of the old cage's floor was $6$ square feet. The area of the new cage's floor is $n$ square feet larger, for a total of $8$ square feet. $\newline$ Which diagram models the story? $\newline$ Which equation models the story? $\newline$ Choices: $\newline$ (A) $n - 6 = 8$ $\newline$ (B) $6 + n = 8$

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Evaluate two-variable equations: word problems

Full solution

Q. Edmond bought a new cage for his pet rabbit since he's gotten so big. The area of the old cage's floor was

6

square feet. The area of the new cage's floor is

n

square feet larger, for a total of

8

square feet.

\newline

Which diagram models the story?

\newline

Which equation models the story?

\newline

Choices:

\newline

(A)

n - 6 = 8

\newline

(B)

6 + n = 8

Understand the problem: First, let's understand the problem: Edmond's old cage was $6$ square feet, and the new cage is $n$ square feet larger, totaling $8$ square feet. We need to find the value of $n$ that makes this true.
Set up equation: Set up the equation based on the problem statement: The old cage area plus the increase in area $n$ equals the new cage area. So, $6 + n = 8$ .
Solve for $n$ : Solve the equation for $n$ : Subtract $6$ from both sides to isolate $n$ . $6 + n - 6 = 8 - 6$ , $n = 2$ .

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