Question

Every day, Jeremiah's burrito stand uses 5/6 of a bag of tortillas. How many days will 2 1/2 bags of tortillas last?

Write your answer as a fraction or as a whole or mixed number.

days

Answer 1

To find out how many days 2 1/2 bags of tortillas will last when Jeremiah's burrito stand uses 5/6 of a bag each day, we can set up the calculation as follows:

1. First, convert 2 1/2 bags into an improper fraction:
\[
2 \frac{1}{2} = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2}
\]

2. Next, we need to calculate how many days the tortillas will last by dividing the total amount of bags by the amount used each day:
\[
\text{Number of days} = \frac{\text{Total bags}}{\text{Bags used per day}} = \frac{\frac{5}{2}}{\frac{5}{6}}
\]

3. To divide fractions, we multiply by the reciprocal of the second fraction:
\[
\frac{5}{2} \div \frac{5}{6} = \frac{5}{2} \times \frac{6}{5}
\]

4. Continuing with the multiplication:
\[
= \frac{5 \cdot 6}{2 \cdot 5} = \frac{30}{10} = 3
\]

Thus, the total number of days that 2 1/2 bags of tortillas will last is \( \boxed{3} \).