They traveled 350 kilometers in total, and they bike

Question

George and Carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They traveled 350 kilometers in total, and they biked 80 kilometers more than they were bussed. How many kilometers did they travel by bike?

Answer 1

Start by writing an equation:

They traveled 350 kilometers in total, and they biked 80 kilometers more than they were bussed

bused= x

biked= 80+x

total of 350 km so 350=x+x+80

 

simplify the equation

350=2x+80

270=2x

135=x

 

trying to find how far they biked:

biked=80+x

biked=80+135

biked=215

 

Check you answer

350=2x+80

350=2(135)+80

350=270+80

350=350

Answer 2

Total km travelled = 350

km on Bus = B

km on Bike = B+80

 

Equation:

 

Total km = km on Bus + km On Bike

 

350 = B + (B + 80)    remove ()

350 = B + B +80

350 = 2B + 80           subtract 80

-80            -80           fm both sides

270 = 2B

 

270 = 2B                    divide both 

 2        2                    sides by 2

 

135 = B =  km on Bus

 

350 - 135 = 215 = km on bike