Chapter 3 - Section 3.2 - Problem Solving and Business Applications Using Systems of Equations - Exercise Set - Page 208: 67

$x=8,y=4$

As per the given statement we can see that $6x+y=52$ and $x+4y=24$ Here x=number of hexagonal shapes and y= number of squares After plugging $x=24-2y$ from the first equation in the second equation, we have $-23y=-92$ or, $y=4$ Now, $6x+4=52$ or, $6x=48 \implies x= 8$ Thus, $x=8,y=4$