The answer is 5 potatoes and 10 carrots.
Please enter this into desmos.com/calculator (a virtual graphing calculator that is awesome) and the x-intercept will be your answer.
Simply enter [tex]\frac{6}{2}=\frac{15}{x}[/tex] into one equation and [tex]\frac{6}{4}=\frac{15}{x}[/tex] into another equation. The x-intercepts are your answers, so [tex]x[/tex] = 5 and [tex]x[/tex] = 10.
