Color | Red | Green | Blue |
Face Value | 20 | 50 | 100 |
Face Value on busy day | 200 | 50 | 100 |
Let X=Number of Red Tokens
Y=Number of Green Tokens
Z=Number of Blue Tokens
Total price of all Tokens =20 X + 50 Y + 100 Z = 18500 ........(1)
Total price of all Tokens on Busy Day= 200 X + 50 Y + 100 Z =27500 .........(2)
Given the average number of tokens per color is equal to the number of Green tokens
Y= (X + Y + Z ) / 3
2Y=X + Z
Y =(X + Z) / 2 .............(3)
Perform (2) - (1)
180 X = 9000
X= 50
Put The values of X and Y in (1)
20 * 50 + 50 * (50+z) /2 + 100 Z = 18500
1000 + 1250 + 25 Z + 100 Z =18500
125 Z =16250
Z=130
Put values X and Z in (3)
Y= (50 + 130 ) /2
Y=90
Total no of tokens casino= X + Y + Z = 50 + 90 + 130 = 270 Tokens