This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the ratio of pens in Bag A to Bag B and the total units. Bag A has twice as many pens as Bag B. If Bag B has 1 unit of pens, then Bag A has 2 units of pens. Total pens = 2 units (Bag A) + 1 unit (Bag B) = 3 units. Step 2: Calculate the number of red pens in each bag in terms of units. Red pens in Bag A = (1)/(5) of 2 units = (2)/(5) units. Red pens in Bag B = (1)/(3) of 1 unit = (1)/(3) units. Step 3: Find the total number of red pens. To add the fractions, find a common denominator for 5 and 3, which is 15. Total red pens = (2)/(5) + (1)/(3) = (2 × 3)/(5 × 3) + (1 × 5)/(3 × 5) = (6)/(15) + (5)/(15) = (11)/(15) units Step 4: Calculate the fraction of Sam's total pens that are red pens. Fraction of red pens = Total red pensTotal pens = (11)/(15) units3 units Fraction of red pens = (11)/(15) ÷ 3 = (11)/(15) × (1)/(3) = (11)/(45) The fraction of Sam's pens that were red pens is (11)/(45). Send me the next one 📸