George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil
ometers in total and they biked 80 kilometers more than they bussed let x= kilometer traveled by biked and y= kilometer traveled by bus. Find how many kilometer the traveled by bike?
Total distance covered by <span>George and Carmen </span>x + y = 350 And they biked 80 kilometers more than they bussed <span>80 + y = x </span> Putting the value of x=80 + y in <span>x + y = 350: </span>We get: <span>80 + y + y = 350 </span> <span>2y = 270 </span> <span>y = 135 km</span>
<span>Substituting y = 135 in x + y = 350 </span> <span>x + 135 = 350</span> <span>x = 215 km </span>
Thus George and Carmen biked for 215 km and bussed for 135 km.