SOLUTION: In a game at an amusement park, a player can win 20 points, 25 points, or 30 points. The probability of winning these points is given below. Points and Probability 20--->0.6

Question 1180301: In a game at an amusement park, a player can win 20 points, 25 points, or 30 points.
The probability of winning these points is given below.
Points and Probability
20--->0.6
25--->x
30--->y
If Jenny expects to win 22.5 points by playing the game once, the value of x is
? and the value of y is ?

Answer by ikleyn(52921) (Show Source): You can put this solution on YOUR website!
.
In a game at an amusement park, a player can win 20 points, 25 points, or 30 points.
The probability of winning these points is given below.
Points and Probability
20--->0.6
25--->x
30--->y
If Jenny expects to win 22.5 points by playing the game once, the value of x is
? and the value of y is ?
~~~~~~~~~~~~~~~~~

From the condition, we have these two equations for unknowns x and y

    x + y = 1 - 0.6

    0.6*20 + 25x + 30*y = 22.5,


or, in other form

      x +   y =  0.4

    25x + 30y = 10.5


Solve it by any way you want.


ANSWER.  x = 0.3;  y = 0.1.

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