help me please

Question

The Singh family spends two fifths of its annual gross income on taxes, one-fifth on housing, and one tenth on transportation. After these expenses the family has $36,000 to cover all its other needs. What is the family’s gross income?

Answer 1

Let G = gross income

 

Subtract all of the expenses from G, set the result = 36,000, and then solve for G.

 

G - (2/5)G - (1/5)G - (1/10)G = 36,000

 

G(1 - 2/5 - 1/5 - 1/10) = 36,000

 

G(10/10 - 4/10 - 2/10 - 1/10) = 36,000

 

G(3/10) = 36,000

 

G = 120,000

 

Gross income is $120,000