2016-09-27 10:15:21
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
2016-09-27 14:48:54

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.