Answer:
Michael played 4 games, Sherry played 6 games and Rashad played 5 games
Step-by-step explanation:
Let X, Y and Z represents the number of games for the three players.
Based on the given information, three equations can be formed -
30 X + 25 Y + 20 Z = 370 ---(1)
X + Y + 2Z = 20 ---(2)
2X + 5Y + 4 Z = 58 ---(3)
From Equation (2), X = 20 -Y-2Z
Substituting value of X from equation 2, in equation 1 and 2, we get -
30 (20-Y-2Z) + 25 Y + 20 Z = 370
600 -30Y-60Z + 25 Y + 20 Z = 370
-5Y -40Z = -230
Y + 8Z = 46 ----(4)
2(20-Y-2Z) + 5Y + 4 Z = 58
40 -2Y-4Z + 5Y + 4 Z = 58
3Y = 18
Y = 6
Substituting value of Y in equation 4, we get -
8Z = 46-6
8Z = 40
Z = 5
Substituting value of Y and Z in equation 2 we get
X + 6 + 2* 5 = 20
X = 20-16 = 4
Hence, Michael played 4 games, Sherry played 6 games and Rashad played 5 games
