Problema Solution

jeffrey decides to buy one of two used cars. car a costs $2,400 and will cost $50 a week on average in gas. Car b costs $3,000, but is more fuel efficient, and should cost Jeffrey $30 a week on average in gas. After how many weeks will car B be the better purchase?

Answer provided by our tutors

let x = the number of weeks


car A will cost: 2,400 + 50x


car B will cost: 3,000 + 30x


car B is better purchase means:


3000 + 30x < 2400 + 50x


by solving we find


x > 30


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After 30 weeks car B will be better purchase.