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3. Aries was in NYC over the summer watching bikers and runners training for the NYC triathlon. She observed that there were 178 more runners than bikers. If there were a total of 676 people in the park, how many people were running and how many people were biking?

Respuesta :

To solve this problem we can express one equation for each condition so the first ones is:

There are 178 more runners than bikers so:

[tex]R=B+178[/tex]

whre R are the runners and B are the bikers

and the second one is:

in total there are 676 people this means that:

[tex]R+B=676[/tex]

now we can replace the first equation into the second one so we have:

[tex]\begin{gathered} B+178+B=676 \\ 2B=676-178 \\ B=\frac{498}{2} \\ B=249 \end{gathered}[/tex]

now we can replace B in the first equation so:

[tex]\begin{gathered} R=249+178 \\ R=427 \end{gathered}[/tex]

So in total the there are 427 runners and 249 bikers

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