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

linas purchase
4 tickets and 1 fee
x x x x 8
100
4x + 8 = 100

find the price, y, of each ticket for adam.

y = ?

Explanation:

Step1: Divide both sides by 4

To isolate the term with \( y \), we divide both sides of the equation \( 4(y + 8)=100 \) by 4.
\( \frac{4(y + 8)}{4}=\frac{100}{4} \)
Simplifying, we get \( y + 8 = 25 \).

Step2: Subtract 8 from both sides

To solve for \( y \), we subtract 8 from both sides of the equation \( y + 8 = 25 \).
\( y + 8 - 8 = 25 - 8 \)
Simplifying, we find \( y = 17 \).

Answer:

\( y = 17 \)