Question

A family buys 4 airline tickets. They also purchase travel insurance, which costs $16 per ticket. The total cost is $564. Write an equation including the Distributive Property to represent the scenario and then solve the equation

Answer 1

To represent the scenario, we can use the equation 4(x + $16) = $564 and solve for x using the distributive property. The family bought 125 airline tickets.

Step-by-step explanation:

To write an equation including the Distributive Property to represent the scenario, we can use the following equation:

4(x + $16) = $564

We multiply the number of tickets (x) by the cost of travel insurance ($16) and add it to the base cost of the tickets (4x), which gives us the total cost of $564. To solve the equation, we can distribute the 4 to both terms inside the parentheses and then solve for x:

4x + 64 = 564

4x = 500

x = 125

Therefore, the family bought 125 airline tickets.