On a pair of scales, five apples together with two oranges balance exactly against three apples together with eight oranges. All apples weigh the same and all oranges weigh the same. How many oranges balance one apple?

Remove three apples and two oranges from both pans — the scales stay balanced. That leaves 2 apples on one side against 6 oranges on the other, so 1 apple balances 3 oranges. The trap is 6: it stops at '2 apples balance 6 oranges' and reads off the 6 without sharing it between the two apples.