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. let x and y represent ticket prices. match each equation with the purchase it represents. adams purchase 4 tickets and 4 fees y + 8, y + 8, y + 8, y + 8 total 100. linas purchase 4 tickets and 1 fee x, x, x, x, 8 total 100. equations: 4x + 8 = 100, 4(y + 8) = 100.

Explanation:

Step1: Analyze Adam's Purchase

Adam has 4 tickets, each with a fee of $8. So per ticket, it's \( y + 8 \), and 4 of them. So total is \( 4(y + 8) = 100 \).

Step2: Analyze Lina's Purchase

Lina has 4 tickets (each price \( x \)) and 1 fee of $8. So total is \( 4x + 8 = 100 \).

Answer:

Adam's purchase (4 tickets and 4 fees) matches \( 4(y + 8) = 100 \)
Lina's purchase (4 tickets and 1 fee) matches \( 4x + 8 = 100 \)