Question

fresh-and-easy breath lozenges have only $2\frac{3}{4}$ calories apiece. how many calories are in a pack of 16 lozenges? 96 calories 40 calories 28 calories 44 calories

Explanation:

Step1: Convert mixed number to improper fraction

The calories per lozenge is \(2\frac{3}{4}\). To convert this mixed number to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). So, \(2\frac{3}{4}=\frac{2\times4 + 3}{4}=\frac{8 + 3}{4}=\frac{11}{4}\).

Step2: Multiply by number of lozenges

We need to find the total calories in 16 lozenges. So we multiply the calories per lozenge (\(\frac{11}{4}\)) by 16. That is \(\frac{11}{4}\times16\). We can simplify this by canceling out the 4 and 16. 16 divided by 4 is 4, so we have \(11\times4 = 44\).

Answer:

44 calories (corresponding to the option "44 calories")