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 variable

Let \( n \) be the number of miles Nathan rode.

Step2: Set up equation

Miguel rode 4 miles less than 5 times Nathan's miles, so Miguel's miles: \( 5n - 4 \). We know Miguel rode 6 miles, so \( 5n - 4 = 6 \).

Step3: Solve for \( n \)

Add 4 to both sides: \( 5n = 6 + 4 = 10 \). Divide by 5: \( n = \frac{10}{5} = 2 \).

Answer:

A. 2 miles