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The Wrap & Roll food truck is the most popular lunch spot in the city. They have $v$ vegetarian wraps and $8$ wraps containing meat on today's menu. There are $12$ wraps on the menu in all. $\newline$ Which diagram models the story? $\newline$ Which equation models the story? $\newline$ Choices: $\newline$ (A) $v + 8 = 12$ $\newline$ (B) $v - 8 = 12$

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Evaluate two-variable equations: word problems

Full solution

Q. The Wrap & Roll food truck is the most popular lunch spot in the city. They have

v

vegetarian wraps and

8

wraps containing meat on today's menu. There are

12

wraps on the menu in all.

\newline

Which diagram models the story?

\newline

Which equation models the story?

\newline

Choices:

\newline

(A)

v + 8 = 12

\newline

(B)

v - 8 = 12

Understand the problem: First, let's understand the problem. The food truck has $v$ vegetarian wraps and $8$ meat wraps, totaling $12$ wraps. We need to find the equation that correctly represents this situation.
Find the total wraps: We add the vegetarian wraps $v$ and the meat wraps $8$ to find the total number of wraps. The equation should reflect this addition to match the total given, which is $12$ .
Set up the equation: Set up the equation: $v + 8 = 12$ . This equation means ＂the number of vegetarian wraps plus $8$ meat wraps equals $12$ wraps in total.＂
Check equation with value: Check if the equation makes sense by substituting a reasonable value for $v$ . If $v = 4$ , then $4 + 8 = 12$ , which is correct. This confirms our equation is set up correctly.

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