Question

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

Answer 1

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**