I am having a hard time understanding this proble Any help w

I am having a hard time understanding this proble. Any help will be greatly appreciated.

Hector decides to take up golf. His golf club membership will cost $450 for the season and he will be charged $18 for each round of golf that he plays. Hector has decided not to spend more than $1000 on golf for the season.

a. Write an inequality that describes the relationship between the maximum amount Hector wants to spend and the total golf costs for the season

b. Solve the inequality to determine the maximum number of rounds of golf he can play yet not exceed his $1000 limit.

Solution

let number of rounds of golf he can play = x

a)golf club membership will cost $450 for the season , he will be charged $18 for each round of golf that he plays

=> total cost he can occur for season =450 +18x dollars

Hector has decided not to spend more than $1000 on golf for the season

so maximum amount he can spend =1000 dollars

so total cost he can bear is maximum of 1000 dollars

so  inequality that describes the relationship between the maximum amount Hector wants to spend and the total golf costs for the season is 450 +18x 1000

b)450 +18x 1000

18x 1000-450

18x 550

x 550/18

x 30.55

x has to be a whole number

so maximum 30 rounds of golf he can play yet not exceed his $1000 limit.