A baseball team has 1200 tickets to sell the ratio of tickets sold to unsold tickets is 5 to 3 what value should be entered into each rectangle

1 answer

To find the number of tickets sold and unsold based on the given ratio of 5 to 3, we first need to set up the ratio in terms of a variable.

Let the number of tickets sold be represented by \( 5x \) and the number of tickets unsold be represented by \( 3x \).

According to the problem, the total number of tickets is given as:

\[ 5x + 3x = 1200 \]

Combining the terms gives:

\[ 8x = 1200 \]

Now, 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: \[ 3x = 3 \times 150 = 450 \]

So, the value that should be entered into the rectangles for tickets sold is 750 and for unsold tickets is 450.