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:
-
First, convert 2 1/2 bags into an improper fraction: \[ 2 \frac{1}{2} = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2} \]
-
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: \[ \text{Number of days} = \frac{\text{Total bags}}{\text{Bags used per day}} = \frac{\frac{5}{2}}{\frac{5}{6}} \]
-
To divide fractions, we multiply by the reciprocal of the second fraction: \[ \frac{5}{2} \div \frac{5}{6} = \frac{5}{2} \times \frac{6}{5} \]
-
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 \( \boxed{3} \).
1 answer