Problem 9 · 2009 Math Kangaroo
Medium
Ratios, Rates & Proportions
proportion
A lift can carry either 12 adults or 20 children. What is the maximum number of children that could travel in the lift with 9 adults?
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Answer: C — 5
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Hint 1 of 2
Think in fractions of capacity: 12 adults fill the lift, so 9 adults fill 9/12 of it.
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Hint 2 of 2
Apply the leftover fraction of capacity to the 20-children full load.
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Approach: convert adults to a fraction of capacity
- The full lift holds 12 adults, so 9 adults take up 9/12 = 3/4 of the capacity.
- The remaining 1/4 holds 1/4 x 20 = 5 children.
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