In your community, you notice that the light sockets and light bulbs need to be replaced.The price of each light bulb is $$6$ less than the price of a socket. a$)$ Write an expression for the price of a socket. b$)$ Write an expression for the price of a light bulb. c$)$ Count the number of sockets and the number of light bulbs that need to be replaced in your house or community. $($You can make up numbers for this.$)$ d$)$ Write an expression for the cost of replacing the light bulbs and sockets that you counted. Simplify the expression. e$)$ Using the budget number from your AUAF ID$,$ what is the most you could pay for a light bulb?

Write an equation for this, then solve it$.$