If adults paid $2.00 for tickets to an exhibition. On the day of the exhibition a total of 60 tickets were sold, making the grand total of $160.00 for that day. How many adults visited the exhibition that day?
Let x be the number of adults who visited the exhibition that day.
Since each adult paid $2.00 for a ticket, the total amount earned from adult tickets is 2x.
Since a total of 60 tickets were sold, we can also say that x is the number of adults and 60 - x is the number of children.
The total amount earned from ticket sales that day is $160.00, so we can set up the following equation:
2x + 1(60 - x) = 160
2x + 60 - x = 160
x + 60 = 160
x = 100
Therefore, 100 adults visited the exhibition that day.
If 100 adults visited the exhibition and they paid $2.00 would that not make the amount of adults attending the exhibition 50 adults if they are paying $2.00 per ticket?
Yes, you are correct.
If each adult paid $2.00 for a ticket and the total amount earned from adult tickets is $160.00, we can calculate the number of adults who visited the exhibition as follows:
Total amount earned from adult tickets = Number of adults * Price of each ticket
$160.00 = 2 * Number of adults
Number of adults = $160.00 / $2.00
Number of adults = 80
Therefore, there were 80 adults who visited the exhibition that day. Thank you for pointing out the error.
I submitted the answer 80 to my teacher and it was wrong. I so confused, as to how many adults attended the exhibition with the sales of the ticket were 60 and the grand total for that day is 160.00.
Let's reassess the problem.
Let's say the number of adult tickets sold is x and the number of child tickets sold is y.
Given:
1. x + y = 60 (total tickets sold)
2. 2x = total revenue from adult tickets
3. 2x + 1y = $160 (total revenue from tickets)
We can substitute the first equation into the third equation to solve for x:
2x + 1y = $160
2x + y = $160
2x + y = $160
2x + 1(60 - x) = 160
2x + 60 - x = 160
x + 60 = 160
x = 100
This seems to result in an error in calculation as we should've realized earlier that the number of adults cannot be more than the total number of tickets sold. Let's correct the calculation:
2(100) + y = 160
200 + y = 160
y = 160 - 200
y = -40
In this case, y being negative doesn't make sense. Let's revisit the information given and reassess the problem.
In this case, the correct approach is to recognize that the total revenue earned in a day includes both adults and children. Therefore, we have:
$2.00 * 60 tickets = $120.00 (this is the revenue from adults)
$160.00 total revenue - $120.00 (revenue from adults) = $40.00 (revenue from children)
$40.00 / $2.00 (price per child ticket) = 20 children attended the exhibition.
Therefore, there were 60 adults who attended the exhibition that day. Thank you for the patience and understanding.