Matt consumes 4 standard drinks
In United States, one standard drink contains approximately 14 g of pure alcohol. Beer contains roughly 4.5 to 5% alcohol and one standard drink of beer is approximately equal to 12 oz of beer.
Matt drinks from a plastic cup of volume 16 oz and he has three cups of beer. Therefore, the total volume V of beer consumed by Matt is given by,
[tex] V=3*(16 oz)=48 oz [/tex]
Since the volume of standard drink of beer has a volume of 12 oz, the number of standard drinks Matt consumes is given by,
[tex] n=\frac{V}{12oz} \\ =\frac{16 oz}{12 oz} \\ =4 [/tex]
Thus, Matt consumes 4 standard drinks