SOLUTION: If i ate 1/3 of corn muffins, gave 1/4 to a friend and I have 9 left, how many did I make? I may be totally wrong, but i got 18. Can you show me how to work this problem out ste

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If i ate 1/3 of corn muffins, gave 1/4 to a friend and I have 9 left, how many did I make? I may be totally wrong, but i got 18. Can you show me how to work this problem out ste      Log On


   

Question 488159: If i ate 1/3 of corn muffins, gave 1/4 to a friend and I have 9 left, how many did I make?
I may be totally wrong, but i got 18. Can you show me how to work this problem out step by step, i'm not that good in math and I'm trying to help my neice.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If i ate 1/3 of corn muffins, gave 1/4 to a friend and I have 9 left, how many did I make?
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Let x = no. of muffins to start with
If you ate 1/3 of them, that leaves 2%2F3x, you gave away 1%2F4 of this amt
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2%2F3x - (1%2F4 * 2%2F3)x = 9
2%2F3x - 2%2F12x = 9
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Get rid of those annoying denominators, multiply by 12
12*2%2F3x - 12*2%2F12x = 12(9)
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cancel out the denominators and you have
4(2x) - 2x = 108
8x - 2x = 108
6x = 108
x = 108%2F6
x = 18 muffins so you are right!!
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