A group of children play in a orchestra .3/4 of the children Play a brass instrument .of these children 2/5 play a trumpet what fraction of the group of the children Play a trumpet if there are 40 children altogether how many play a trumpet.
Answer (1)
Problem3/4 of the 40 children play a brass instrument.2/5 of those play a trumpet.What fraction of the total group plays a trumpet?How many children play a trumpet?SolutionFind how many play a brass instrument:3/4 of 40 = 3 × 40 ÷ 4 = 30 childrenFind how many of those play a trumpet:2/5 of 30 = 2 × 30 ÷ 5 = 12 childrenFraction of the whole group that plays trumpet:12 out of 40 = 12/40Simplify: divide both by 4 → 3/10Final AnswerFraction: 3/10Number of children: 12
