SOLUTION: If Dan drove 3 times as far as Rick, and Dan drove 24 more miles than Rick, how far did Rick drive? Can someone please show me how to set up this equation? Thank you

Algebra.Com
Question 1121786: If Dan drove 3 times as far as Rick, and Dan drove 24 more miles than Rick, how far did Rick drive?
Can someone please show me how to set up this equation?
Thank you

Answer by ikleyn(52834)   (Show Source): You can put this solution on YOUR website!
.
From the condition, you have these two equations


D = 3R        (1)     ("Dan drove 3 times as far as Rick")
D = R + 24    (2)     ("Dan drove 24 more miles than Rick")


From eq(1), substitute  D = 3R  into eq(2), replacing D.


You will get a single equation for the unknown R:


3R = R + 24.

The setup is done.


RELATED QUESTIONS

Brenda drove three times as far as Jan. Brenda drove 24 miles more than Jan. How far did... (answered by ikleyn)
DAN IS EIGHT TIMES AS OLD AS THAN RICK, AND JIM IS HALF AS OLD AS DAN. IF THE SUM OF... (answered by solver91311)
Patty and Rick deliver a total of 72 papers each morning. Patty delivers 6 more than two... (answered by ewatrrr)
If dan biked 27 miles yesterday. if he biked 3 times as far as joe , how far did joe... (answered by Alan3354)
Mike drove four times as far as bill.. Together they drove 350 miles.. How far did they... (answered by macston)
If frank drove twice as far as Hank. together drove a totall of 303 miles. how far did... (answered by Alan3354)
Dan and Joe shared the driving to Florida for spring break. Dan averaged 50mph and Joe... (answered by ewatrrr)
Kyle drove half as far as Jamaal. Connor drive 4 times as far as Kyle. Altogether they... (answered by robertb)
Brittnay drove 3 times as far as Lindsey. All together they drove 300 miles. How many... (answered by Maths68)