Question

every day, the webster pet store uses 2 1/2 bags of dog food to feed the dogs. how many days will 7 1/2 bags of dog food last? write your answer as a fraction or as a whole or mixed number. days

Explanation:

Step1: Convert mixed numbers to improper fractions

The daily usage is \(2\frac{1}{2}\) bags, which is \(\frac{2\times2 + 1}{2}=\frac{5}{2}\) bags. The total available is \(7\frac{1}{2}\) bags, which is \(\frac{7\times2+ 1}{2}=\frac{15}{2}\) bags.

Step2: Divide total by daily usage

To find the number of days, we divide the total amount by the daily amount: \(\frac{15}{2}\div\frac{5}{2}\). When dividing fractions, we multiply by the reciprocal: \(\frac{15}{2}\times\frac{2}{5}\). The 2s cancel out, and we have \(\frac{15}{5}=3\).

Answer:

3