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.

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6c + 8a - 200 = 1000 ....or could be 6c + 8a = 1200

if no kids came...only adults..
6(0) + 8a = 1200
8a = 1200/8
a = 150 <== 150 adults would have to attend

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chisnau chisnau · Answer 2 · 2019-06-27T18:16:43+02:00

Answer:

150 adults would have to attend the event, for the organizers to raise the targeted amount.

Step-by-step explanation:

Given is:

A school is planning an event to raise $1,000 for charity.

The cost of organizing the event is $200.

The ticket prices are: $6 per child and $8 per adult.

Let x represents children and y represents adults.

The equation that represents the total revenue is:

[tex]1000=6x+8y-200[/tex]

[tex]6x+8y=1000+200[/tex]

=> [tex]6x+8y=1200[/tex]

If the event was only for adults:

[tex]1000=8y-200[/tex]

[tex]1000+200=8y[/tex]

[tex]8y=1200[/tex]

y=150

Therefore, 150 adults would have to attend the event, for the organizers to raise the targeted amount.