Question 1066242
let g = amount for general expenses.
let e = amount for equipment expenses.
let s = amount for salaries.


total is 200,000.


g + e + s = 200,000


amount to be budgeted for salaries is 5 times amount to be budgeted for equipment expenses.


s = 5 * e


general expenses is expected to be 10% of the amount spent on the other two combined.


g = .10 * (s + e).


you have 3 equations to be solved simultaneously.,


they are:


s + e + g = 200,000
s = 5 * e
g = .10 * (s + e).


from g = .10 * (s + e), replace s with 5 * e from s = 5 * e to get:


g = .10 * (5 * e + e)


simplify to get g = .10 * 6 * e


simplify further to get g = .6 * e


from s + g + e = 200,000, replace s with 5 * e and replace g with .6 * e to get:


5 * e + .6 * e + e = 200,000


combine like terms to get 6.6 * e = 200,000


solve for e to get e = 200,000 / 6.6 = 30303.0303...


since s = 5 * e, you get s = 5 * 30303.0303 = 151515.1515...


since g = .10 * (s + e), you get g = .10 * (151515.1515... + 30303.0303...).


combine like terms to get g = .10 * 181818.1818...


solve for g to get g = 18181.81818...


s + g + e = 200,000 becomes 151515.1515... + 18181.81818... + 30303.0303... = 200,000.


simplify to get 200,000 = 200,000


solution looks good.


you should budget the following:


151515.1515... for salaries.
18181.81818... for general expenses.
30303.0303... for equipment expenses.


round those off to the nearest cent and you get:


151,515.15 for salaries.
18,181.82 for general expenses.
30,303.03 for equipment expenses.