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.
How many adults attend?
if the child tickets cost $6 each, then x child tickets result in 6*x or simply 6x dollars in revenue similar logic with the adult tickets (8y). in order for them to make $1,000, plus the $200 fee, they need to make $1,200, so 6x + 8y = 1200 to break even if the event were for adults only, that means the number of child tickets x = 0, so you'd plug in x = 0 and solve for y to get the # of adult tickets needed. if your answer is a non-integer, round up to the nearest integer.
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