you and 3 friends each get an admission ticket to a town carnival you have a coupon for 20$ off that will save your group money if the total bill to get into the carnival was 100$ what is the original cost for each admision ticket define variable write answer in complete sentence

Answer 1

Let's define the variable:

Let \( x \) be the original cost of each admission ticket.

Since there are 4 people (you and 3 friends), the total cost for all admission tickets can be expressed as:

\[ 4x \]

According to the problem, the total cost to get into the carnival before using the coupon is $100. With the $20 coupon, the total cost becomes:

\[ 4x - 20 = 100 \]

To find the original cost of each admission ticket, we first add $20 to both sides of the equation:

\[ 4x = 100 + 20 \] \[ 4x = 120 \]

Next, we divide both sides by 4 to find \( x \):

\[ x = \frac{120}{4} \] \[ x = 30 \]

Therefore, the original cost for each admission ticket is $30.

In complete sentence: The original cost for each admission ticket to the town carnival is $30.