To solve the problem, let's use algebra:

1. Let $x$ represent the number of chocolate chip cookies.
2. Since there are 8 times as many sugar cookies as chocolate chip cookies, the number of sugar cookies will be $8x$.
3. The total number of cookies is 126, so:

$x + 8x = 126$

Step 1: Combine like terms

$9x = 126$

Step 2: Solve for $x$

$x = \frac{126}{9} = 14$

Step 3: Interpret the result

There are 14 chocolate chip cookies on the plate.

Verify

• Number of sugar cookies: $8 \times 14 = 112$
• Total cookies: $14 + 112 = 126$ (Correct)

Would you like further clarification or details? Here are some related questions to deepen understanding:

1. What if there were twice as many sugar cookies instead of 8 times as many?
2. How would the result change if the total number of cookies was 180 instead of 126?
3. Can we represent this situation using a different variable?
4. What is the ratio of sugar cookies to chocolate chip cookies?
5. How can this problem be visualized as a pie chart?

Tip: Always check your solution by substituting values back into the original equation!