Problem 12 · 2017 Math Kangaroo
Medium
Fractions, Decimals & Percents
percent-multiplier
One sixth of all spectators in a children’s theatre are adults, and the rest are children. Two fifths of the children are girls. Which fraction of all spectators are boys?
Show answer
Answer: A — 12
Show hints
Hint 1 of 2
Children are the part that isn't adults; boys are the part of children that aren't girls.
Still stuck? Show hint 2 →
Hint 2 of 2
Multiply the two fractions.
Show solution
Approach: chain the fractions
- Children are 5/6 of all spectators.
- Boys are 3/5 of the children (since 2/5 are girls).
- Boys = 5/6 × 3/5 = 1/2 of all spectators.
Mark:
· log in to save