a group of children play in an orchestra. 3/4 of the children play a brass instrument. Of these children, 2/5 play trumpet. What fraction of the group of children play a trumpet? If there are 40 children altogether, how many play the trumpet? (Four Step)
Answer (1)
Step 1: Understand the ProblemTotal children = 403/4 of them play brass instrumentsOf those, 2/5 play the trumpetWe are asked to find:The fraction of all the children who play the trumpetThe number of children who play the trumpetStep 2: PlanMultiply the fraction who play brass instruments (3/4) by the fraction of those who play trumpet (2/5).This gives the fraction of the total group who play trumpet.Step 3: Solve1. Fraction who play trumpet:(3/4) × (2/5) = 6/20 = 3/102. Number of children who play trumpet:3/10 × 40 = 12Step 4: Check and AnswerYes, 3/10 of 40 is 12. The answer makes sense.Final Answers:Fraction: 3/10Number of children who play trumpet: 12
