SOLUTION: Mary spends 1/2 of her income on rent and food, 1/12 on entertainment, and 1/4 of her income on clothing. She saves the rest, which is $500. What is her monthly income? I figure o

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Question 1052183: Mary spends 1/2 of her income on rent and food, 1/12 on entertainment, and 1/4 of her income on clothing. She saves the rest, which is $500. What is her monthly income?
I figure out that LCD is 12 but have not been able to figure out from there.
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Figure out what is left first.





So she has 1/6 of her income left which is equal to $500.


So her monthly income is $3000.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Mary spends 1/2 of her income on rent and food, 1/12 on entertainment, and 1/4 of her income on clothing. She saves the rest, which is $500. What is her monthly income?
I figure out that LCD is 12 but have not been able to figure out from there. 
Let income be I

Then we get: 



6I + I + 3I + 6,000 = 12I -------- Multiplying by LCD, 12

10I + 6,000 = 12I

6,000 = 12I - 10I

6,000 = 2I

I, or income = , or  

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