Question

adam and lina each buy 4 concert tickets online. adam is charged a fee of $8 for each ticket. lina is charged a fee of $8 for the entire purchase. they each spend a total of $100.
adams purchase
4 tickets and 4 fees
y + 8 y + 8 y + 8 y + 8
100
4(y + 8) = 100
find the price, y, of each ticket for adam.
y = 17
the price of each ticket for adam is $17.
linas purchase
4 tickets and 1 fee
x x x x 8
100
4x + 8 = 100
find the price, x, of each ticket for lina.
x =

Explanation:

Step1: Start with Lina's equation

We have the equation \(4x + 8 = 100\). First, subtract 8 from both sides to isolate the term with \(x\).
\(4x + 8 - 8 = 100 - 8\)
\(4x = 92\)

Step2: Solve for \(x\)

Divide both sides of the equation \(4x = 92\) by 4 to find the value of \(x\).
\(x=\frac{92}{4}\)
\(x = 23\)

Answer:

\(x = 23\)