Final answer:
To find the value of each shape, solve the equation C+2S+Q=18. Assume values for the shapes, substitute in the equation, and check if it is true. The values of the circle, sun, square, and triangle are 1, 4, and 9, respectively.
Step-by-step explanation:
To find the value of each shape, we need to solve the equation involving the circle (C), sun (S), square (Q), and triangle (T): C+2S+Q=18. Since each shape represents a distinct positive whole number, we can assign variables to each shape: C=x, S=y, Q=z. Substituting these variables into the equation, we have x+2y+z=18. We know that the value of each shape is a positive whole number, so we can start by making an assumption that x=1, y=4, and z=9.
Substituting these values into the equation, we have 1+2(4)+9=18, which is true. Therefore, the values of the circle, sun, square, and triangle are 1, 4, and 9, respectively.