Question

At the city museum, child admission is $5.60, and adult admission is $8.70. On Thursday, twice as many adult tickets as child tickets were sold, for a total sale of $828.00. How many child tickets were sold that day?

a) 24
b) 30
c) 18
d) 12

Answer 1

To find the number of child tickets sold at the city museum, we can set up a system of equations based on the given information. Solving the equations, we find that 36 child tickets were sold that day.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's say the number of child tickets sold is x and the number of adult tickets sold is y. We can write two equations based on the given information:

1. x * $5.60 + y * $8.70 = $828.00
2. y = 2x

First, we substitute the value of y from the second equation into the first equation:

x * $5.60 + (2x) * $8.70 = $828.00

Simplifying the equation, we get:

5.6x + 17.4x = 828

Combining like terms, we have:

23x = 828

Dividing both sides by 23, we find:

x = 36

Therefore, the number of child tickets sold that day is 36.