Write each of the following as a mathematical equation.

Lacey made some cookies. She gave 8 to her best friend, then she divided the remainder into three halves for her classmates, and she still had 9 cookies left.

Lacey made some cookies. She gave 8 to her best friend, then she divided the remainder into three halves for her classmates, and she still had 9 cookies left.

8 divided by ? (something ) = 9

9divided by 8 = 1.125

so 8 divided by 1.125

or the answer could be 72

Answer:Let “C” represent the number of cookies Lacey made.We can write the first sentence as: C – 8 = cookies remainingWe can write the second sentence as: (C – 8) / 3 = cookies for classmatesWe can write the third sentence as: (C – 8) / 3 + 9 = cookies remainingTherefore, the full equation is:C – 8 / 3 + 9 = cookies remainingNote that this equation is not solvable as written, since the operations are not in the correct order. To solve the equation, we must use the correct order of operations, which is:1. Parentheses2. Exponents3. Multiplication and Division (from left to right)4. Addition and Subtraction (from left to right)

Applying the order of operations, we get the following equation:((C – 8) / 3) + 9 = cookies remainingThis equation is now solvable, and we can use algebra to solve for the variable “C”.To do this, we first need to isolate the variable on one side of the equation by moving all the other terms to the other side. We can do this by subtracting 9 from both sides of the equation, which gives us:((C – 8) / 3) = cookies remaining – 9Next, we need to get rid of the parentheses and the division by multiplying both sides of the equation by 3, which gives us:C – 8 = 3 * (cookies remaining – 9)Finally, we can solve for the variable “C” by adding 8 to both sides of the equation, which gives us:C = 8 + 3 * (cookies remaining – 9)This is the final equation, which shows the relationship between the number of cookies Lacey made and the number of cookies she had remaining after giving some to her friend and classmates.