Image: ©iStock.com/Photology1971 These 2 brothers sold oranges for a living. On Monday: On Tuesday, they combined their prices, and sold their oranges in groups of (2 + 3) 5 for ($3 + $4) $7. When they counted their money, they’d only made $84. What happened? Think about how many oranges were sold by each brother. Selling 5 oranges at the combined price is the same as selling 2 oranges at Josh’s price and 3 at Zach’s price. If they sold 60 oranges at the combined price, it’s the same as selling 12 groups of oranges (12 x $3 + 12 x $4 = $84). That’s 24 oranges at Josh’s price ($1.50 per orange), and 36 at Zach’s cheaper one (~$1.33 per orange), rather than 30 oranges each. For more brainteasers and puzzles for kids, subscribe to Double Helix magazine!
At the end of the day, they sold (30 + 30) 60 oranges, and they expected to get ($45 + $40) $85 in total.
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