Question 1168643
part a:


budget = 60,000
number of committees = 8.
the budget is split evenly among the committees.
let c = the amount that each committee gets.
let b = the budget.
let n = number of committees.
function is:
c = b / n
when b = 60,000 and n = 8, function becomes:
c = 60,000 / 8.
solve for c to get:
c = 7,500.
the solution is that each committee gets 7,500.
to confirm, 8 * 7,500 = 60,000.


part b:


budget is 90,000.
number of offices is 5.
the budget is to be split among all the offices.
each of the other offices gets the same amount.
the marketing office gets twice what each of the other offices gets.
let o = the amount that each of the other offices gets.
let m = the amount that the marketing office gets.
let b = the budget.
let n = the number of offices.
the function for each of the other offices is:
o = b / (n+1)
the function for the marketing office is:
m = 2 * o
when b = 90,000 and n = 5, the function becomes:
o = 90,000 / 6
solve for o to get:
o = 15,000.
since o = 15,000, the m = 2 * o to get:
m = 30,000.
the solution is that the marketing office receives 30,000 and each of the other offices gets 15,000.
to confirm, 4 * 15,000 + 30,000 = 90,000.