Brenda drove three times as far as Jan. Brenda drove 24 more miles than Jan. How far did Jan drive?

Question

Algebra 1 word problem that I needed help on.

Answer 1

Brenda drove three times as far as Jan.

b = 3j

 

Brenda drove 24 more miles than Jan.

b = j + 24

 

Solve by substitution:

b = j + 24 ⇒ 3j = j + 24

⇒ 2j = 24 ⇒ j = 12

 

Jan drove 12 miles.