"Each Month A Family Spends 8/12 Of Its Income On Food, 1/4 On Housing And 1/24 On Clothes. If There Is P500.00 Left, What Is The Familys Monthly Inco

Each month a family spends 8/12 of its income on food, 1/4 on housing and 1/24 on clothes. If there is P500.00 left, What is the familys monthly income?

 

Answer:

P 12,000.00

Computation:

Add all fractions.

\frac{8}{12}+\frac{1}{4}+\frac{1}{24}=\frac{16+6+1}{24}=\frac{23}{24}

Let x be the familys monthly income.

x-\frac{23}{24}x=500.00\\\frac{24-23}{24}x=500.00\\\frac{1}{24}x=500.00\\x=500.00/\frac{1}{24}=500.00*\frac{24}{1}=\boxed{12,000.00}


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