Question

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. which equation can you use to find m, the number of minutes it took for caden to have as many berries as nina? 5m + 11 = 42m 42 + 5m = 11m after how many minutes did caden have as many berries as nina? simplify any fractions. minutes

Explanation:

Step1: Analyze the problem

Nina initially has 42 berries and picks 5 berries per minute, so her total berries after \( m \) minutes is \( 42 + 5m \). Caden picks 11 berries per minute, so his total berries after \( m \) minutes is \( 11m \). We need to find when their berries are equal, so the equation should be \( 42 + 5m = 11m \).

Step2: Solve the equation \( 42 + 5m = 11m \)

Subtract \( 5m \) from both sides:
\( 42 = 11m - 5m \)
\( 42 = 6m \)

Step3: Find \( m \)

Divide both sides by 6:
\( m = \frac{42}{6} = 7 \)

Answer:

The equation is \( 42 + 5m = 11m \), and it took 7 minutes for Caden to have as many berries as Nina.