contestada

At the end of the first half of a basketball game, UCONN and SCSU were tied. During the second half UCONN scored 48 points and SCSU scored twice as many points as they had in the first half. What was the final score of UCONN won by 2 points?

Respuesta :

Okay, here we have this:

Let's take the endpoints of UCONN as x and those of SCSU as y. So:

x=y+2

And:

So the UCONN points of the first half are: x/3. And since they were tied SCSU had the same points at the first half.

And those UCONN points of the second half are 2x/3, and the SCSU points at the end were then x/3+48.

So, we obtain that:

y=x/3+48

x=(x/3+48)+2

x=x/3+50

x-x/3=50

2x/3=50

2x=150

x=75

And, replacing in y:

y=75/3+48=25+48=73

Finally we obtain that the final score was: UCONN 75: SCSU 73

Otras preguntas