you receive a $25 gift card to a sporting goods store for your birthday. yo are looking at skateboards and want to spend no more than $85 of your own money

a. write and solve an inequality to find the prices p in dollars of skateboards you can buy
b. what is the most expensive skateboard you can buy?

a. To write and solve an inequality, let's assume the price of the skateboard is represented by the variable "p." The inequality to find the prices p in dollars of skateboards you can buy can be written as:

p + 25 ≤ 85

Here, "p + 25" represents the total cost of the skateboard including the $25 gift card, and "85" represents your maximum budget including your own money. The inequality is solved by isolating the variable "p" to one side:

p ≤ 85 - 25

p ≤ 60

So, the inequality is p ≤ 60, which means the prices of skateboards you can buy are less than or equal to $60.

b. To find the most expensive skateboard you can buy, you need to determine the value of "p" that satisfies the inequality p ≤ 60. Since you want to spend no more than $85 of your own money, and you have the $25 gift card, the most expensive skateboard should be within your remaining budget of $60.

Therefore, the most expensive skateboard you can buy is $60 or less.