Let's denote the number of adult tickets sold as $ A $ and the number of children tickets sold as $ C $.

We have two pieces of information:
1. The total number of tickets sold is 738.
2. The total revenue from the tickets is $3656.

We can set up the following system of equations based on this information:

1. $ A + C = 738 $
2. $ 7A + 2C = 3656 $

To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.

First, solve the first equation for $ A $:

$$ A = 738 - C $$

Next, substitute $ A $ in the second equation:

$$ 7(738 - C) + 2C = 3656 $$

Now, distribute the 7:

$$ 5166 - 7C + 2C = 3656 $$

Combine like terms:

$$ 5166 - 5C = 3656 $$

Subtract 5166 from both sides:

$$ -5C = 3656 - 5166 $$

$$ -5C = -1510 $$

Divide both sides by -5:

$$ C = 302 $$

Now, substitute $ C $ back into the first equation to find $ A $:

$$ A + 302 = 738 $$

Subtract 302 from both sides:

$$ A = 436 $$

So, the number of adult tickets sold is 436, and the number of children tickets sold is 302.

Question

Let's denote the number of adult tickets sold as $ A $ and the number of children tickets sold as $ C $.

We have two pieces of information:
1. The total number of tickets sold is 738.
2. The total revenue from the tickets is $3656.

We can set up the following system of equations based on this information:

1. $ A + C = 738 $
2. $ 7A + 2C = 3656 $

To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.

First, solve the first equation for $ A $:

$$ A = 738 - C $$

Next, substitute $ A $ in the second equation:

$$ 7(738 - C) + 2C = 3656 $$

Now, distribute the 7:

$$ 5166 - 7C + 2C = 3656 $$

Combine like terms:

$$ 5166 - 5C = 3656 $$

Subtract 5166 from both sides:

$$ -5C = 3656 - 5166 $$

$$ -5C = -1510 $$

Divide both sides by -5:

$$ C = 302 $$

Now, substitute $ C $ back into the first equation to find $ A $:

$$ A + 302 = 738 $$

Subtract 302 from both sides:

$$ A = 436 $$

So, the number of adult tickets sold is 436, and the number of children tickets sold is 302.

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