A package of pill tablets weighs 100 mg . How many tablets are there in the package if each pill weighs \( 1 \frac{2}{3} \mathrm{mg} \) ? Etablets If you have to take 6 pills per day, how many days will the package last you for?

To find out how many tablets are in the package, we convert \( 1 \frac{2}{3} \text{ mg} \) to an improper fraction, which is \( \frac{5}{3} \text{ mg} \). Now, we divide the total weight of the package (100 mg) by the weight of each pill: \[ \frac{100 \text{ mg}}{\frac{5}{3} \text{ mg}} = 100 \times \frac{3}{5} = 60 \] So, there are 60 tablets in the package! If you take 6 pills a day, to find out how many days the package will last, simply divide the number of tablets by the daily dosage: \[ \frac{60 \text{ tablets}}{6 \text{ tablets per day}} = 10 \] The package will last you for 10 days. Happy pill popping!