Final answer:
To calculate how many days 2 4/5 bags of tortillas will last at Diego's burrito stand, we need to find the equivalent of 2 4/5 bags in terms of 7/10 of a bag. 2 4/5 bags of tortillas is equivalent to 49/25 bags used per day. Therefore, 2 4/5 bags of tortillas will last approximately 1 and 3/7 days at Diego's burrito stand.
Step-by-step explanation:
To calculate how many days 2 4/5 bags of tortillas will last at Diego's burrito stand, we need to find the equivalent of 2 4/5 bags in terms of 7/10 of a bag.
First, let's convert the mixed number 2 4/5 into an improper fraction:
2 4/5 = (2 * 5 + 4) / 5 = 14/5
Next, we can multiply 14/5 by 7/10 to find the equivalent in terms of bags used per day:
14/5 * 7/10 = (14 * 7) / (5 * 10) = 98/50 = 49/25
So, 2 4/5 bags of tortillas is equivalent to 49/25 bags used per day. To determine how many days this will last, we can divide the total number of bags by the bags used per day:
(2 4/5) / (49/25) = (14/5) / (49/25) = 14/5 * 25/49 = (14 * 25) / (5 * 49) = 350/245 = 10/7
Therefore, 2 4/5 bags of tortillas will last approximately 1 and 3/7 days at Diego's burrito stand.