Question

miguel rode his bicycle 4 miles less than 5 times the number of miles that nathan rode. if miguel rode his bicycle 6 miles, how many miles did nathan ride? a. 2 miles b. 10 miles c. 19 miles d. 26 miles

Explanation:

Step1: Define variables for miles

Let $N$ = Nathan's miles, $M$ = Miguel's miles.

Step2: Set up equation per problem

$M = 5N - 4$

Step3: Substitute Miguel's miles ($M=6$)

$6 = 5N - 4$

Step4: Solve for $N$ (add 4 to both sides)

$6 + 4 = 5N$
$10 = 5N$

Step5: Isolate $N$ (divide by 5)

$N = \frac{10}{5} = 2$

Answer:

A. 2 miles