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, how many adults would have to attend for the organizers to raise the targeted amount?

Answer 1

Given:
Profit: 1,000
Cost: 200
ticket prices: 6 per child ; 8 per adult.

x represents children ; y represents adults.

Profit = Sales - Cost

1,000 = (6x+8y) - 200     
6x + 8y = 1,000 + 200
6x + 8y = 1,200   The equation that represents the total revenue.

If the event were only for adults
1,000 = 8y - 200
1,000 + 200 = 8y
1,200 = 8y
1,200/8 = 8y/8
150 = y

There must be 150 adults that would have to attend for the organizers to raise the targeted amount.

Answer 2

Answer:

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

6x + 8y = 1,200

. If the event were only for adults,

150

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

Step-by-step explanation:

The answers are 6x + 8y = 1,200 and 150