Caden and his little sister, Nina, went blackberry picking. Caden helped Nina get started until she had $42$ berries. When Caden started picking his own berries, he picked $11$ berries per minute while Nina continued to pick $5$ berries per minute. $\newline$ Which equation can you use to find $m$ , the number of minutes it took for Caden to have as many berries as Nina? $\newline$ Choices: $\newline$ (A) $42 + 5m = 11m$ $\newline$ (B) $5m + 11 = 42m$ $\newline$ After how many minutes did Caden have as many berries as Nina? $\newline$ Simplify any fractions. $\newline$ ____ minutes $\newline$

Full solution

Q. Caden and his little sister, Nina, went blackberry picking. Caden helped Nina get started until she had

42

berries. When Caden started picking his own berries, he picked

11

berries per minute while Nina continued to pick

5

berries per minute.

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Which equation can you use to find

m

, the number of minutes it took for Caden to have as many berries as Nina?

\newline

Choices:

\newline

(A)

42 + 5m = 11m

\newline

(B)

5m + 11 = 42m

\newline

After how many minutes did Caden have as many berries as Nina?

\newline

Simplify any fractions.

\newline

____ minutes

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Question Prompt: Question Prompt: Determine the number of minutes it took for Caden to have as many berries as Nina by solving the correct equation.
Identify Equation: Step $1$ : Identify the correct equation to represent the situation. Nina starts with $42$ berries and picks at a rate of $5$ berries per minute. Caden picks at a rate of $11$ berries per minute. The equation to find when they have the same number of berries is $42 + 5m = 11m$ .
Solve Equation: Step $2$ : Solve the equation $42 + 5m = 11m$ . Subtract $5m$ from both sides to isolate terms with $m$ on one side: $\newline$ $42 = 11m - 5m$ $\newline$ $42 = 6m$
Divide and Solve: Step $3$ : Divide both sides by $6$ to solve for $m$ : $\frac{42}{6} = m$ $m = 7$