Question

SCVCS is planning a trip to the zoo and to the pumpkin patch for the entire school on the same day. The cost of a student ticket for the zoo ( x ) is $10.50 and the cost for a student to attend the pumpkin patch ( y ) is $8.75. SCVCS plans to spend $7,612.50 on both sets of tickets. Use the equation that models this situation and find how many zoo tickets SCVCS will need to purchase if 360 tickets to the pumpkin patch have already been purchased.

Answer 1

425 zoo tickets.

Step-by-step explanation:

Let's denote the number of zoo tickets SCVCS will need to purchase as 'z'.

The cost of a student ticket for the zoo is $10.50, so the total cost of the zoo tickets will be 10.50z dollars.

The cost for a student to attend the pumpkin patch is $8.75, and since 360 tickets to the pumpkin patch have already been purchased, the total cost of the pumpkin patch tickets is 8.75 * 360 = $3150.

The total cost of both sets of tickets is given as $7,612.50.

So, we can write the equation to represent this situation as:

10.50z + 3150 = 7612.50

To find the number of zoo tickets SCVCS will need to purchase, we can solve this equation for 'z'.

Subtracting 3150 from both sides of the equation:

10.50z = 7612.50 - 3150

10.50z = 4462.50

Dividing both sides by 10.50:

z = 4462.50 / 10.50

z ≈ 425

Therefore, SCVCS will need to purchase approximately 425 zoo tickets.