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

Answer 1

we have:

x -- number of miles that Miguel rode his bike

y -- number of miles that Nathan rode his bike

system of equations

`\begin{gathered} x=5y-4 \\ x=6 \end{gathered}`

then solve for y

`\begin{gathered} 6=5y-4 \\ 6+4=5y-4+4 \\ 10=5y \\ (10)/(5)=(5y)/(5) \\ y=2 \end{gathered}`

asnwer: A. 2 miles