A car dealership sells used cars for $7,000 and new cars for $16,000. If a total of 17 cars were sold for $191,000, how many of the cars sold were used?

Question

Mathematics

Ezekiel Macdonald

28 February, 17:48

A car dealership sells used cars for $7,000 and new cars for $16,000. If a total of 17 cars were sold for $191,000, how many of the cars sold were used?

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Rhys Meadows · Answer 1

Let u be the number of used cars and n the number of new cars, then u+n=17.

Sales values: 7000u+16000n=191000; so 7u+16n=191.

Since n=17-u, we can rewrite this: 7u+16 (17-u) = 191.

7u+272-16u=191, 9u=272-191=81 and u=9. So 9 used cars were sold (8 new).