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Pick the story that can be modeled by the equation $x + 2 = 8$ . $\newline$ Choices: $\newline$ (A)At Hayland Farms, Leo picked a total of $8$ small pumpkins. He picked $x$ orange pumpkins and $2$ white pumpkins. $\newline$ (B)At Hayland Farms, Leo picked $2$ white pumpkins. Each pumpkin cost $x$ dollars, and Leo paid $\$8$ in all.

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Evaluate two-variable equations: word problems

Full solution

Q. Pick the story that can be modeled by the equation

x + 2 = 8

.

\newline

Choices:

\newline

(A)At Hayland Farms, Leo picked a total of

8

small pumpkins. He picked

x

orange pumpkins and

2

white pumpkins.

\newline

(B)At Hayland Farms, Leo picked

2

white pumpkins. Each pumpkin cost

x

dollars, and Leo paid

\$8

in all.

Understand the equation: Step $1$ : Understand the equation $x + 2 = 8$ and what it represents. $\newline$ The equation means that when $2$ is added to $x$ , the result is $8$ . We need to find a story that matches this scenario.
Analyze choice (A): Step $2$ : Analyze choice (A). In this story, Leo picked $x$ orange pumpkins and $2$ white pumpkins, making a total of $8$ pumpkins. This fits the equation $x + 2 = 8$ , where $x$ represents the number of orange pumpkins.
Analyze choice (B): Step $3$ : Analyze choice (B). Here, Leo picked $2$ white pumpkins, each costing $x$ dollars, and paid a total of $\$8$ . This scenario would be modeled by the equation $2x = 8$ , not $x + 2 = 8$ .

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