Problema Solution
A car dealer needs to buy luxury sedans, small hatchbacks, and hybrid models. The dealer
needs a total of 28 cars and has a budget of $692,000. Luxury sedans cost $36,000 each, small
hatchbacks cost $18,000 each, and hybrids cost $28,000 each. The dealer needs as many small
hatchbacks as the number of luxury sedans and hybrids combined. How many of each model
should the dealer buy?
Answer provided by our tutors
Let
x = the number of luxury sedans
y = the number of small hatchbacks
z = the number of hybrid models
x + y + z = 28
36000x + 18000y + 28000z = 692000
y = x + z
........
click here to see the system of equations solved for x, y and z
........
x = 6 luxury sedans
y = 14 small hatchbacks
z = 8 hybrid models
The dealer should buy 6 luxury sedans, 14 small hatchbacks and 8 hybrid models.