A car dealership sells used cars for$7,000 and new cars for$1,600. If a total of 17 cars were sold for $191,000. How many of the cars sold were used?

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Siimbo6588 Siimbo6588

08-07-2017
Mathematics

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A car dealership sells used cars for$7,000 and new cars for$1,600. If a total of 17 cars were sold for $191,000. How many of the cars sold were used?

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meerkat18 meerkat18 · Answer 1 · 2017-07-18T13:12:35+02:00

Let x be the number of used cars; y be the number of new cars. Since there are two unknowns, we have to formulate two independent equations to be able to solve the problem. Although, I think that would be 16,000, and not 1,600. It is only logical that new cars are more expensive than used cars.

(1) x + y = 17
(2) 7000x + 16000y = 191000

Solving these equations simultaneously:

x = 17 - y (1)
7000x + 16000y = 191000 (2)

7000(17-y) + 16000y = 191000
y = 8 new cars

Then, substituting this to equation 1,

x = 17 - 8 = 9 used cars