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How many bikes and tricycles does Rick's bike shop have if the inventory shows 117 wheels and 104 pedals?
1. Each bike has 2 pedals and 2 wheels; 2. Each tricycle has 2 pedals and 3 wheels; 3. Let x be the number of bikes and, y the number of tricycles; 4. 2x + 3y = 117 and 2x + 2y = 104 => ( 2x + 3y ) - ( 2x + 2y ) = 117 - 104 => y = 13 => 2 * x + 2 * 13 = 104 => 2 * x = 104 - 26 => 2 * x = 78 => x = 78 / 2 => x = 39.
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