Question

Jamie needs to lease a car. At Big City Nissan, Jamie can lease an Altima for $3,000 down plus $420 per month. Big City will also give her the first two months of her lease free. At Rye Town Nissan, they offer her the same car for $3960 down plus $400 per month. Rye Town will give her the first four months free. After how many months would both deals cost the same?

Answer 1

90 months

Explanation:

Let x = number of months

Let y = total cost of deal

Big City Nissan

y = 3000 + 420x - 840

⇒ y = 2160 + 420x

Rye Town

y = 3960 + 400x

Equate the equations and solve for x

2160 + 420x = 3960 + 400x

⇒ 420x - 400 x= 3960 - 2160

⇒ 20x = 1800

⇒ x = 90