Let's denote the number of people who paid just for registration as x. Then the number of people who paid for both registration and lunch is x + 100.

The total cost for registration is $50 per person, so the total cost for those who paid just for registration is 50x.

The total cost for registration and lunch is $50 + $22 = $72 per person, so the total cost for those who paid for both is 72(x + 100).

The total receipts for registration and lunch is given as $92,600. Therefore, we can set up the following equation:

50x + 72(x + 100) = 92600

Solving this equation will give us the value of x, which is the number of people who paid just for registration.

First, distribute the 72:

50x + 72x + 7200 = 92600

Then, combine like terms:

122x + 7200 = 92600

Subtract 7200 from both sides:

122x = 85400

Finally, divide by 122:

x = 700

So, 700 people paid just for registration at the meeting.

Question

Let's denote the number of people who paid just for registration as x. Then the number of people who paid for both registration and lunch is x + 100.

The total cost for registration is $50 per person, so the total cost for those who paid just for registration is 50x.

The total cost for registration and lunch is $50 + $22 = $72 per person, so the total cost for those who paid for both is 72(x + 100).

The total receipts for registration and lunch is given as $92,600. Therefore, we can set up the following equation:

50x + 72(x + 100) = 92600

Solving this equation will give us the value of x, which is the number of people who paid just for registration.

First, distribute the 72:

50x + 72x + 7200 = 92600

Then, combine like terms:

122x + 7200 = 92600

Subtract 7200 from both sides:

122x = 85400

Finally, divide by 122:

x = 700

So, 700 people paid just for registration at the meeting.

Knowee AI · Accepted Answer