Diana wanted to make peanut brittle for a holiday party, so she bought a 16.5-ounce jar of peanuts at the grocery store. She used
3
5
of the peanuts to make peanut brittle. The next week, she split the remaining peanuts into 3 bags of trail mix for a hike with friends. How many ounces of peanuts did Diana put in each bag of trail mix
Diana used 3/5 of the peanuts to make peanut brittle, which is (3/5) * 16.5 = 9.9 ounces of peanuts.
She had 16.5 - 9.9 = 6.6 ounces of peanuts left.
She split the remaining peanuts into 3 bags of trail mix, so each bag contains 6.6 / 3 = 2.2 ounces of peanuts. Answer: \boxed{2.2}.
To find out how many ounces of peanuts Diana put in each bag of trail mix, we need to first calculate how many peanuts she had left after making the peanut brittle.
Diana used 35% of the peanuts to make peanut brittle, which means she used 0.35 * 16.5 = 5.775 ounces of peanuts for the brittle.
To find out how many peanuts she had left, we subtract the amount used for the brittle from the original 16.5 ounces: 16.5 - 5.775 = 10.725 ounces.
Now, we divide the remaining peanuts equally among the 3 bags of trail mix. We divide the 10.725 ounces by 3: 10.725 / 3 ≈ 3.575 ounces.
Therefore, Diana put approximately 3.575 ounces of peanuts in each bag of trail mix.