Question

arabella has $1\frac{1}{5}$ pounds of trail mix.\
which situation can be modeled by $1\frac{1}{5} \div \frac{1}{10}$?\
\\(\circ\\) she eats $\frac{1}{10}$ pound of the trail mix. how much trail mix, in 5 pounds, does she have\
\\(\circ\\) she packs $\frac{1}{10}$ pound portions of the trail mix into bags. how many bags does she p\
\\(\circ\\) she adds $\frac{1}{10}$ pound of nuts to the trail mix. how much trail mix, in pounds, does sh\
she packs $\frac{1}{10}$ of the trail mix in a separate container. how much trail mix, in poun

Explanation:

Step1: Understand division context

Dividing a total amount by a portion size calculates the number of equal portions that can be made from the total.

Step2: Analyze the expression

The expression $1\frac{1}{5} \div \frac{1}{10}$ takes the total trail mix ($1\frac{1}{5}$ pounds) and divides it by a portion size of $\frac{1}{10}$ pounds. This operation answers "how many $\frac{1}{10}$-pound portions fit into $1\frac{1}{5}$ pounds".

Step3: Match to scenarios

• Option 1 uses subtraction ($1\frac{1}{5} - \frac{1}{10}$)
• Option 2 uses division to count portions (matches the expression)
• Option 3 uses addition ($1\frac{1}{5} + \frac{1}{10}$)
• Option 4 uses multiplication ($1\frac{1}{5} \times \frac{1}{10}$)

Answer:

She packs $\frac{1}{10}$ pound portions of the trail mix into bags. How many bags does she pack?