A baseball team has 1,200 tickets to sell. The ratio of tickets sold to unsold tickets is 5:3. What value should be inserted into each rectangle

1 answer

To find out the number of tickets sold and unsold based on the ratio of tickets sold to unsold tickets being 5:3, we can set up the problem using the ratio concept.

Let's denote:

  • The number of tickets sold as \( 5x \).
  • The number of unsold tickets as \( 3x \).

According to the problem, the total number of tickets is the sum of sold and unsold tickets:

\[ 5x + 3x = 1200 \]

Combining like terms gives us:

\[ 8x = 1200 \]

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

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

Now that we have \( x \), we can find the number of tickets sold and unsold:

  • Tickets sold: \( 5x = 5 \times 150 = 750 \)
  • Tickets unsold: \( 3x = 3 \times 150 = 450 \)

Thus, the values to be inserted are:

  • Tickets sold: 750
  • Tickets unsold: 450