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Over the weekend, Julian visited the Wondrous Wings Butterfly Museum with his family. In the Discovery Zone, he was able to observe $c$ caterpillars and $8$ butterflies. That's a total of $15$ insects he got to see up close in all. $\newline$ Which diagram models the story? $\newline$ Which equation models the story? $\newline$ Choices: $\newline$ (A) $c + 8 = 15$ $\newline$ (B) $c - 8 = 15$

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Evaluate two-variable equations: word problems

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Q. Over the weekend, Julian visited the Wondrous Wings Butterfly Museum with his family. In the Discovery Zone, he was able to observe

c

caterpillars and

8

butterflies. That's a total of

15

insects he got to see up close in all.

\newline

Which diagram models the story?

\newline

Which equation models the story?

\newline

Choices:

\newline

(A)

c + 8 = 15

\newline

(B)

c - 8 = 15

Observe Insects: Julian observed $c$ caterpillars and $8$ butterflies, making a total of $15$ insects. To find the number of caterpillars, we need to add the number of caterpillars ( $c$ ) to the number of butterflies ( $8$ ) and set this sum equal to the total number of insects ( $15$ ).
Set Up Equation: To solve for $c$ , subtract $8$ from both sides of the equation. This isolates $c$ on one side of the equation.

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