Julie is making some muffins. She misreads the recipe though, and adds 1331 of a cup too many white chocolate buttons. The recipe asks for 1221 of a cup of white chocolate buttons. How many cups of white chocolate buttons did Julie put in her muffin mixture?
Question
Julie is making some muffins. She misreads the recipe though, and adds 1331 of a cup too many white chocolate buttons. The recipe asks for 1221 of a cup of white chocolate buttons. How many cups of white chocolate buttons did Julie put in her muffin mixture?
Solution
To solve this problem, we need to add the amount of white chocolate buttons Julie was supposed to use to the amount she added by mistake.
The recipe asked for 12/21 of a cup of white chocolate buttons. Julie added 13/31 of a cup too many.
To find out how much she used in total, we add these two amounts together:
12/21 + 13/31
To add these fractions, we need to find a common denominator. The least common multiple of 21 and 31 is 651. So we convert the fractions:
(12/21)(31/31) + (13/31)(21/21) = 372/651 + 273/651 = 645/651
So, Julie used 645/651 of a cup of white chocolate buttons in her muffin mixture.
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