Question

Grace and her dad are planning to attend to State Fair. an adult ticket is $15 the price of an adult ticket is half the price of a student ticket plus $8. write an equation to determine how much grace will pay for the student ticket​

Answer 1

Answer:

Equation:

$15=\dfrac{1}{2}x+8$

Student ticket price = $14

Step-by-step explanation:

An adult ticket = $15

Let a student ticket = $x

An adult ticket is half the price of a student ticket plus $8, then an adult ticket

$=\ \left(\dfrac{1}{2}x+8\right)$

Equate the prices for the adult ticket:

$15=\dfrac{1}{2}x+8$

Subtract 8 from both sides:

$15-8=\dfrac{1}{2}x+8-8\\ \\7=\dfrac{1}{2}x$

Multiply this equation by 2:

$7\cdot 2=x\\ \\x=\ 14$

Answer 2

Answer:

Grace will have to pay $14 for the student ticket​.

Step-by-step explanation:

Let the student ticket be = s

Let the adult ticket be = a

Given the price of adult ticket is = $15

The price of an adult ticket is half the price of a student ticket plus $8.

$15= \frac{s}{2}+8$

$15= \frac{s+16}{2}$

$s+16=15\times2$

$s+16=30$

$s=30-16=14$

Hence, the cost of student ticket is = $14.