Question

A school is planning an event to raise $1,000 for charity. The cost of organizing the event is $200. The tickets are priced at $6 per child and $8 per adult. If x children and y adults attend the event, the equation that represents the total revenue that the organizers must collect from ticket sales to raise the targeted amount of $1,000 after paying for the $200 in expenses is . If the event were only for adults, adults would have to attend for the organizers to raise the targeted amount. NextReset

Answer 1

The equation would be 6x+8y=1,000. So 125 adults would have to come inorder to make 1,000.

Answer 2

R(x,y)=6x+8y  (revenue as a function of x and y)

c=200  (cost is a constant)

p=1000  (profit that they wish to make)

Since profit equal revenue minus cost we can say:

1000=6x+8y-200  so the equation that must be satisfied is:

6x+8y=1200  of which we can factor out 2

3x+4y=600

IF no children can and there were only adults we would then be left with:

4y=600  divide both sides by 4

y=150

So 150 adults would have to attend to raise $1000.