Question

ASAPP A baseball team has 1,200 tickets to sell. The ratio of tickets sold to unsold tickets 5:3

What value should be inserted into each rectangle ?


The number .......... should be inserted into each rectangle

Answer 1

Answer:We are given that the ratio of tickets sold to unsold tickets is 5:3. This means that for every 5 tickets sold, there are 3 tickets unsold.

To determine the value that should be inserted into each rectangle, we need to find the actual quantities of tickets sold and unsold.

Let's assume the number of tickets sold is represented by the variable "x". According to the ratio, the number of unsold tickets would be represented by "3x/5" since there are 3 unsold tickets for every 5 sold tickets.

Now, we know that the total number of tickets available is 1,200. So, we can set up the equation:

x + 3x/5 = 1200

To simplify the equation, we can multiply through by 5 to eliminate the fraction:

5x + 3x = 6000

Combining like terms:

8x = 6000

Now, we solve for x by dividing both sides of the equation by 8:

x = 6000/8

x = 750

So, the value that should be inserted into the rectangle representing tickets sold is 750.

To find the value for the unsold tickets, we substitute the value of x back into the expression 3x/5:

Unsold tickets = 3(750)/5

Unsold tickets = 450

Therefore, the value that should be inserted into each rectangle is 750 for tickets sold and 450 for unsold tickets.

Explanation:

Answer 2

Answer: Let the number of tickets sold be 5x and the number of unsold tickets be 3x. The total number of tickets is the sum of the sold and unsold tickets, which is 5x + 3x = 8x. We know that the total number of tickets is 1,200, so we can write:

8x = 1,200

Solving for x, we get:

x = 150

Therefore, the number of sold tickets is:

5x = 5(150) = 750

And the number of unsold tickets is:

3x = 3(150) = 450

So, 750 should be inserted into the rectangle representing the sold tickets and 450 should be inserted into the rectangle representing the unsold tickets.