Miguel rode his bike 4 miles less than 5 times the number of miles that Nathan rode. If Miguel rode his bike 6 miles how many miles did Nathan ride?

NATHAN RODE 2 MILES

Step-by-step explanation:

Let N = Nathan's number of miles

Let M = 5N - 4 (Miguel rode his bicycle 4 miles less than 5 times the number of miles Nathan rode.

M      = 6                  (Miguel rode his bicycle 6 miles.)

6       = 5N - 4          (Substitute 6 for M in the equation above(M = 5N - 4).

6 + 4 = 5N - 4 + 4    (Add 4 to both sides of equation.)

10     = 5N

10/5  = 5N/5            (Divide both sides by 5 to isolate the variable N.)

2       = N

ANSWER:  NATHAN RODE 2 MILES

CHECKING:

DOES MIGUEL'S 6 MILES EQUAL 5N - 4?

5N - 4 = (5)(2) - 4 = 10 - 4 = 6 MILES .  

YES IT DOES.