A business wants to give each of its employees a free ticket to the amusement park and has budgeted $1200 for tickets.

1.
Write and solve an inequality to find the maximum number of 1-day, adult tickets that can be bought. When you round your answer, remember that there is no such thing as "part" of a ticket.

Inequality: _________

The maximum number of tickets that can be purchased: ___________

2.Suppose the business decides to purchase the tickets in groups of 10. Write and solve an inequality to find the maximum number tickets that can be purchased this way.

The maximum number of tickets that can be purchased: ___________ .

Which of the two deals is the better buy? .

missing information

e.g. how many employees ?

Did you see the solution I gave to your other problem?

1. To find the maximum number of 1-day, adult tickets that can be bought, we need to divide the total budget by the cost of one ticket.

Let's assume the cost of one ticket is "x" dollars. The total budget for tickets is $1200. The inequality to represent this is:

x ≤ 1200

This inequality ensures that the cost of each ticket does not exceed the budget.

To solve this inequality, we need to find the largest whole number value for "x" that satisfies the inequality. Since there is no such thing as "part" of a ticket, we need to round the solution down to the nearest whole number.

So, the maximum number of tickets that can be purchased would be the largest whole number less than or equal to 1200:

Maximum number of tickets = ⌊1200⌋ = 1200

Therefore, the maximum number of tickets that can be purchased is 1200.

2. Suppose the business decides to purchase the tickets in groups of 10. In this case, we need to divide the total budget by the cost of 10 tickets.

Let's assume the cost of 10 tickets is "y" dollars. The inequality to represent this is:

10y ≤ 1200

This inequality ensures that the cost of 10 tickets does not exceed the budget.

To solve this inequality, we divide both sides by 10:

y ≤ 120

This means the cost of 10 tickets must not be more than $120.

To find the maximum number of tickets that can be purchased this way, we divide the budget by the cost of 10 tickets:

Maximum number of tickets = ⌊1200/10⌋ = 120

Therefore, the maximum number of tickets that can be purchased is 120.

To determine which deal is the better buy, we need to compare the maximum number of tickets that can be purchased in each scenario.

In Scenario 1, the business can purchase a maximum of 1200 tickets.
In Scenario 2, the business can purchase a maximum of 120 tickets.

Therefore, the first deal, which allows the purchase of 1200 tickets, is the better buy as it provides more tickets for the same budget.