Question

Eric, Sheena, and Yael are playing a game. Eric has half as many points as Sheena. Sheena has two fewer points than Yael. Together, the three players have 52 points. How many points does Yael have?

Show the work plssss... Thank you

Answer 1

Lets say that:

Eric is E

Sheena is S

Yael is Y

We know that S+2=Y, E= 1/S and that E+S+Y=52. So, we can insert S+2=Y and E= 1/S into our other equation, which would bring us to (1/2S)+(S+2)+S=52. This is equal to 1/2S+S+2+S=52. We then use algebra to get the answer:

Given:

S+2=Y

E=1/S

E+Y+S=52

Equation:

1/2S+S+2+S=52

1/2S+S+S=52

2.5S=50

S=50/2.5

S=20

And since Yael has 2 more points then Yael then we do 20+2 and get 22.

Hope this helps! <3