Question

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?
Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions.

Answer 1

Diana used 35/100 of the peanuts to make peanut brittle. This leaves 1 - 35/100 = 1/100 of the peanuts remaining.
Diana split this 1/100 of the peanuts into 3 bags, so each bag contains 1/100 ÷ 3 = (1 ÷ 100) ÷ 3 = 1 ÷ (100 × 3) = 1 ÷ 300 = 1/300 of the peanuts.
1/300 of 16.5 ounces is (1/300) × 16.5 = 0.055 ounces.
So Diana put 0.055 ounces of peanuts in each bag of trail mix.