Answer:
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus
Step-by-step explanation:
The question is
Find how many kilometers they traveled by bike
Let
x ----> kilometers traveled by bike
y ----> kilometers traveled by bus
we know that
They traveled 300 kilometers in total
so
[tex]x+y=300[/tex] ----> equation A
They biked 70 kilometers more than they were bus
so
[tex]x=y+70[/tex] ----> equation B
substitute equation B in equation A
[tex](y+70)+y=300[/tex]
solve for y
[tex]2y+70=300\\2y=300-70\\2y=230\\y=115[/tex]
Find the value of x
[tex]x=115+70=185[/tex]
therefore
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus