Morning & Afternoon Distances

[nycmathguy]

In the afternoon, Kerrie and Shelly rode their bicycles 4 miles more than three times the distance in miles they rode on the morning on a trip to the lake. If the entire trip was 112 miles, how far did they ride in the morning and how far in the afternoon?

 

[MathLover1]

yes

 

[nycmathguy]

yes

The set up is very important. Solving for x is easy here.

 

[Country Boy]

I say "Finish it"!
(Yes, I know you say you are just asking about the set buy it hurts not to see a math problem finished!)

Therefore, x+ 3x+ 4= 112. 4x+ 4= 112.
4x= 112- 4= 108. x= 108/4= 27.

Check: in the morning they rode x= 27 miles. In the afternoon they rode 3x+ 4= 3(27)+ 4= 81+ 4= 85 miles. That is a total of 27+ 85= 112 miles.

 

[nycmathguy]

I say "Finish it"!
(Yes, I know you say you are just asking about the set buy it hurts not to see a math problem finished!)

Therefore, x+ 3x+ 4= 112. 4x+ 4= 112.
4x= 112- 4= 108. x= 108/4= 27.

Check: in the morning they rode x= 27 miles. In the afternoon they rode 3x+ 4= 3(27)+ 4= 81+ 4= 85 miles. That is a total of 27+ 85= 112 miles.

I say NO. I am interested in the set up. How many times must I say the same thing?