The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.

Question

Full question -Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is1/2 the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.

 1.1/2x + 8 = 15

2.1/2x − 8 = 15

 3.1/2x + 15 = 8

 4.1/2x − 15 = 8

Answer 1

In one word, the question is asking for the price of "student ticket". We don't know it yet, so let's assume the student ticket price is "x" dollar.

From the question we also know "The price of an adult ticket is 1/2 the price of a student ticket plus $8.00", so we can represent the adult ticket price as following:

1/2 x + 8

And also we got "An adult ticket is $15.00" from the question, then we can write the eqution as:

1/2 x + 8 = 15

which means option 1 is the correct answer.

Answer 2

Let's first write a relationship between an adult ticket and a student ticket:

The price of an adult ticket is 1/2 the price of a student ticket plus $8.00.

A = 1/2 S + 8

Now we know the price of the adult ticket: An adult ticket is $15.00 so A = 15. Let's plug that into our relationship:

15 = 1/2 S + 8

The problem denotes S as x so the answer is 15 = 1/2 x + 8, or option 1.

Answer 3

Let x = price for a student ticket

Adult ticket = 1/2 student ticket + 8

Substitute and you get...

15 = 1/2 x + 8