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George and Carmen went on a bicycle trip. they took a bus to their starting point, and then biked the rest. They traveled 3oo kilometers in total, and they biked 70 kilometers more than they were bussed.

Respuesta :

calculista

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

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