Problema Solution
a car dealership sold 66 new cars and 83 used cars this year. the number of new cars sold by the dealership has been increasing by 8 cars each year. the number of used cars sold by the dealership has been decreasing by 6 cars each year. if these trends continue, in how many years will the number of new cars be twice the number of used cars?
Answer provided by our tutors
let 'n' represent the number of new cars sold and 'o' represent the number of old cars sold
let 'y' represent the number of years from this year:
n = 8y + 66
o = -6y + 83
we want to solve for 'y' when n = 2o
8y+66 = 2(-6y+83)
8y+66 = -12y + 166
20y = 100
y = 100/20 = 5
in 5 years, the number of new cars sold will be twice the number of used cars sold