SOLUTION: 1. The budget of a university organization is split evenly among its various committees. If the have a budget of P60,000: (a) Construct a function which would give the amount of

Question 1168643: 1. The budget of a university organization is split evenly among its various committees. If the have a budget of P60,000:
(a) Construct a function which would give the amount of money each of the number of committees would receive.
(b) If the organization has eight committees, how much would each committee have?

2. A company has a budget of P90,000 to be split evenly among its various offices. The marketing office of the company receives twice the amount of money than the other offices.
(a) Given as the number of offices in the company, construct a function which would give the amount of money each of non-marketing offices would receive.
(b) If the company had five offices, how much would the marketing office receive? How much would each of the non-marketing offices receive?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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