Math Problem of the Week - Middle School - June 6, 2021 to June 12, 2021

Middle School: 

Question: In each set of Scrabble tiles, there are 42 vowels, 58 consonants, and 2 blanks. Nine of the tiles are A tiles. What fractional part of the tiles are not A tiles? 

Answer:

³¹/₃₄

Solution:  There are 42 + 58 + 2 = 102 tiles in total. If 9 of them are As, then ⁹/₁₀₂ = ³/₃₄ of them are A tiles. That means that ³⁴/₃₄ – ³/₃₄ = ³¹/₃₄ of the tiles are not A tiles.