Answer: The total amount played on the slot machines is $100416.67.
Step-by-step explanation:
Since we have given that
Percentage of amount payback on slot machines = 95.2%
Percentage of amount retained by the casino = 100 - 95.2 =4.8%
Amount retained by the casino = $4820
Let the total amount played on the slot machines be 'x'.
According to question, we get that
[tex]\dfrac{4.8}{100}\times x=\$4820\\\\0.048x=\$4820\\\\x=\dfrac{4820}{0.048}\\\\x=\$100416.67[/tex]
Hence, the total amount played on the slot machines is $100416.67.