Question

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

Answer 1

Answer:

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

HOPE IT HELPS !!!

Answer 2

Answer:

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

Step-by-step explanation:

$Hope \: it \: helps.$