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.

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step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b