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.

Answer 1

Here is how to solve this question.


Since x represents children and y represents adults.

1,000 = (6x+8y) - 200     

6x + 8y = 1,000 + 200

6x + 8y = 1,200  

1,000 = 8y - 200

1,000 + 200 = 8y

1,200 = 8y

1,200/8 = 8y/8

150 = y
 
150 adults need to attend for the organizers to raise the targeted amount.

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