Math

QuestionCalculate the number of events D\mathbf{D} when total expenses are R4250 using 3000+(250×events)3000 + (250 \times \text{events}).

Studdy Solution

STEP 1

Assumptions1. The fixed monthly expenses are R3000. The additional expense per event is R2503. The total monthly expenses are given by the formula R3000+(R250×R3000 + (R250 \times number of events hosted in a month ))

STEP 2

We need to find the number of events hosted in a month when the total monthly expenses are R4250. We can do this by rearranging the formula for total monthly expenses to solve for the number of events.
Numberofevents=TotalmonthlyexpensesFixedmonthlyexpensesAdditionalexpensepereventNumber\, of\, events = \frac{Total\, monthly\, expenses - Fixed\, monthly\, expenses}{Additional\, expense\, per\, event}

STEP 3

Now, plug in the given values for the total monthly expenses, fixed monthly expenses, and additional expense per event to calculate the number of events.
Numberofevents=R4250R3000R250Number\, of\, events = \frac{R4250 - R3000}{R250}

STEP 4

Calculate the number of events.
Numberofevents=R4250R3000R250=Number\, of\, events = \frac{R4250 - R3000}{R250} =The value of D, the number of events hosted in a month when the total monthly expenses are R4250, is.

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