∵正数x,y满足x+3y=5xy,∴ x+3y 5xy =1,即 1 5y + 3 5x =1,∴3x+4y=(3x+4y)( 1 5y + 3 5x )= 13 5 + 3x 5y + 12y 5x ≥ 13 5 +2 3x 5y ? 12y 5x =5当且仅当 3x 5y = 12y 5x 即x=1且y= 1 2 时取等号,∴3x+4y的最小值为:5故选:D