Question

Sandra wants to purchase tickets, t, for $18.50 each from a company that charges a one-time fee of $8.75 for using the service. Sandra's total purchase cannot exceed $200. Construct an inequality to determine the number of tickets, t, Sandra can purchase.

Answer 1

10 tickets

Explanation:

There is always a fixed cost of 8.75 whenever you want to avail the service.

So 8.75 is fixed

Now, each ticket, t, costs 18.50, so it would cost Sandra 18.5*t to buy t tickets. Of course, this has to be LESS THAN or EQUAL TO 200. We can now write and inequality of this form shown below (remember 8.75 is fixed):

`8.75+18.50t  \leq 200`

Let's solve this and find the max number of tickets Sandra can buy:

`8.75+18.50t  \leq 200\\18.50t \leq 200 - 8.75\\18.50t \leq 191.25\\t \leq (191.25)/(18.50)\\t \leq 10.34`

You can't buy fractional amount, so Sandra can basically buy 10 tickets