Question

1. a family buys 4 airline tickets online. the family buys travel insurance that costs $19 per ticket. the total cost is $752. let x represent the price of one ticket.

a. write an equation to represent this situation.
b. what is the price of one ticket?

Explanation:

Part a

Step1: Define total cost components

The family buys 4 tickets, each with price \( x \) and insurance \( \$19 \) per ticket. So total cost for tickets is \( 4x \), total insurance cost is \( 4\times19 \), and total cost is \( \$752 \).

Step2: Form the equation

Combine the components: \( 4(x + 19)=752 \) (or \( 4x + 76 = 752 \) by distributing 4).

Step1: Start with the equation

Using \( 4(x + 19)=752 \), first divide both sides by 4.
\( \frac{4(x + 19)}{4}=\frac{752}{4} \)

Step2: Simplify

This gives \( x + 19 = 188 \). Then subtract 19 from both sides.
\( x + 19 - 19 = 188 - 19 \)

Step3: Calculate the result

\( x = 169 \)

Answer:

\( 4(x + 19)=752 \) (or \( 4x + 76 = 752 \))

Part b