Let's begin by identifying key information given to us:
Number of cookies = 24 dozens = 24 x 12 = 288 cookies
Let the shamrock cookies be s.
Let the horseshoe cookies be h.
Let the chip cupcakes be c.
They sold four times cupcakes as shamrock cookies & three times as many horseshoe cookies as shamrock cookies
[tex]\begin{gathered} c=4s,h=3s \\ s+h+c=288 \\ s+4s+3s=288 \\ 8s=288 \\ s=\frac{288}{8}=36 \\ But, \\ c=4s \\ c=4(36)=144 \\ c=144 \\ \\ h=3s \\ h=3(36)=108 \\ h=108 \end{gathered}[/tex]They sold 144 mint chocolate chip cupcakes