Miguel score 35 fewer points in second bowling game than his first game his total score for the two games was 395 how many points did he score in each game? (plz show step by step)

Respuesta :

so, let's say he scored "a" points in his first game. and "b" on the second.

his second game's score "b", and it was 35 fewer points, so is b=a - 35.

we also know that the total score for both games was 395, thus

[tex]\bf \begin{cases} a+\boxed{b}=395\\ a+\boxed{a-35}=395 \end{cases} \\\\\\ 2a-35=395\implies 2a=395+35\implies 2a=430\implies a=\cfrac{430}{2} \\\\\\ a=215[/tex]

how many did he score in the second game?  well, b = a - 35.