Question

the manager counted orders for a total of 24 dozen shamrock-shaped cookies, horseshoe-shaped cookies, and mint chocolate chip cupcakes. They sold four times as many cupcakes as shamrock cookies and three times as many horseshoe cookies as shamrock cookies. How many mint chocolate chip cupcakes did they sell?

Answer 1

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

`\begin{gathered} c=4s,h=3s \\ s+h+c=288 \\ s+4s+3s=288 \\ 8s=288 \\ s=(288)/(8)=36 \\ But, \\ c=4s \\ c=4(36)=144 \\ c=144 \\ \\ h=3s \\ h=3(36)=108 \\ h=108 \end{gathered}`

They sold 144 mint chocolate chip cupcakes