Question

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?

Answer 1

`\$2,400`

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

`(x)/(3)-200=600`

Solve for x

Adds 200 both sides

`(x)/(3)-200+200=600+200`

`(x)/(3)=800`

Multiply by 3 both sides

`x=\$2,400`