a baseball team has 1200 tickets to sell the ratio of the tickets. Sold to unsolved tickets is 5:3 what value should be inserted into each rectangle

1 answer

To solve the problem, we start with the ratio of sold tickets to unsold tickets, which is given as 5:3. This means that for every 5 tickets sold, there are 3 unsold tickets.

Let's set the number of sold tickets as \( 5x \) and the number of unsold tickets as \( 3x \), where \( x \) is a common multiplier.

The total number of tickets can be expressed as the sum of sold and unsold tickets:

\[ 5x + 3x = 1200 \]

Simplifying this gives:

\[ 8x = 1200 \]

Now, we can solve for \( x \):

\[ x = \frac{1200}{8} = 150 \]

Now we can find the number of sold and unsold tickets:

  • Sold tickets: \( 5x = 5(150) = 750 \)
  • Unsold tickets: \( 3x = 3(150) = 450 \)

Thus, the number of sold tickets is 750 and the number of unsold tickets is 450.

If the rectangles in your question represent the number of sold and unsold tickets, then you would insert:

  • Into the rectangle for sold tickets: 750
  • Into the rectangle for unsold tickets: 450