contestada

A budget calls for $200 less than one-third of the clothing portion of the budget to be spent on the man of the house. If the man's needs are estimated at $600 for the year, how much should be budgeted for the entire family for the year?

Respuesta :

calculista

Answer:

[tex]\$2,400[/tex]

Step-by-step explanation:

Let

x -----> the clothing portion of the budget for the entire family for the year

we know that

One-third of the clothing portion of the budget minus $200 must be equal to the amount to be spend on the man of the house.

so

[tex]\frac{x}{3}-200=600[/tex]

Solve for x

Adds 200 both sides

[tex]\frac{x}{3}-200+200=600+200[/tex]

[tex]\frac{x}{3}=800[/tex]

Multiply by 3 both sides

[tex]x=\$2,400[/tex]