The history museum is hosting a special exhibition on the history of flight. The admission ticket for each adult costs $3.00 and the admission ticket for each child costs $2.00. On the opening day of the exhibition, 60 tickets were sold for a total of $160.00. How many adults visited the special exhibition?

1 answer

Let x be the number of adult tickets sold and y be the number of child tickets sold.

From the information given:
x + y = 60 (total number of tickets sold)
3x + 2y = 160 (total amount of money from ticket sales)

From the first equation, we can express y in terms of x:
y = 60 - x

Substitute the expression for y into the second equation:
3x + 2(60 - x) = 160
3x + 120 - 2x = 160
x + 120 = 160
x = 40

Therefore, 40 adults visited the special exhibition.