Question

The total attendant at a school with 850 the ticket for senior citizen for $1.50 each and the breath of the tickets were on each if the total receipts were 1650 how many tickets of each kind were sold

Answer 1

100 senior citizen tickets were sold and 750 regular tickets were sold.

Step-by-step explanation:

To solve this problem, we can set up a system of equations based on the given information. Let x represent the number of senior citizen tickets sold and y represent the number of regular tickets sold.

We know that the total number of tickets sold is 850, so x + y = 850. We also know that the total receipts from ticket sales is $1650, so 1.50x + 1.00y = 1650.

Now we can solve this system of equations using substitution or elimination. Let's use substitution:

From the first equation, we can express x in terms of y: x = 850 - y. Substituting this into the second equation, we get 1.50(850 - y) + 1.00y = 1650.

Simplifying this equation, we have 1275 - 1.50y + 1.00y = 1650. Combining like terms, we get 0.50y = 375. Dividing both sides by 0.50, we find that y = 750.

Substituting this value back into the first equation, we have x + 750 = 850. Solving for x, we get x = 100.

Therefore, 100 senior citizen tickets were sold and 750 regular tickets were sold.