To solve the problem, we need to find the number of tickets sold and the number of tickets unsold based on the given ratio of tickets sold to unsold tickets, which is 5:3.
Let the number of tickets sold be \( 5x \) and the number of tickets unsold be \( 3x \). According to the problem, the total number of tickets is 1200. Thus, we can set up the following equation:
\[ 5x + 3x = 1200 \]
Combining the terms on the left side gives:
\[ 8x = 1200 \]
Now we can solve for \( x \):
\[ x = \frac{1200}{8} = 150 \]
Now, we can find the number of tickets sold and unsold:
- Tickets sold: \( 5x = 5 \times 150 = 750 \)
- Tickets unsold: \( 3x = 3 \times 150 = 450 \)
Therefore, the number that should be inserted into each rectangle would be:
- Tickets sold: 750
- Tickets unsold: 450
So the answer is:
- The value to be inserted for tickets sold is 750.
- The value to be inserted for tickets unsold is 450.
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