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A museum sells two types of tickets: a child ticket for [tex]\$17[/tex] and an adult ticket for [tex]\$33[/tex]. Yesterday, the museum sold a total of [tex]\$3335[/tex] worth of tickets.

Formulate an equation that relates the number of child tickets and adult tickets sold, and then solve for the number of child tickets sold.

Let [tex]c[/tex] represent the number of child tickets sold and [tex]a[/tex] represent the number of adult tickets sold. The equation is:

[tex]17c + 33a = 3335[/tex]

Solve for [tex]c[/tex].

Answer :

To solve the problem of determining the number of child tickets sold, let's break it down step by step:

1. Understand the Context:
- There are two types of tickets sold by the museum: child tickets and adult tickets.
- The child ticket costs [tex]$17 each, and the adult ticket costs $[/tex]33 each.
- The total revenue from these tickets is [tex]$3335.

2. Set Up an Equation:
- Let's say \( x \) represents the number of child tickets sold.
- Let's say \( y \) represents the number of adult tickets sold.
- Since each child ticket is $[/tex]17 and each adult ticket is $33, we can create the equation based on the total revenue:
[tex]\[
17x + 33y = 3335
\][/tex]

3. Solve the Equation:
- To find the number of child tickets ([tex]\( x \)[/tex]), we typically need more information, such as the total number of tickets sold. Without it, the problem cannot be solved for specific integer values.
- Usually, if we have another equation (like the total number of tickets), we could use systems of equations to solve for [tex]\( x \)[/tex] and [tex]\( y \)[/tex].

4. Conclusion:
- The equation shows the relationship between child and adult ticket sales, but additional data—such as the total number of tickets sold—is necessary to determine the specific number of child tickets sold.

Thus, with the current information, we can't specifically find out how many child tickets were sold. More data is needed to solve for [tex]\( x \)[/tex] (the number of child tickets).

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