Final answer:
To solve the problem, an equation is set up based on the given conditions and solved for the number of chips Cleo starts with, which is then doubled to find how many chips Greg had originally. The answer is 34 chips, corresponding to Option B.
Step-by-step explanation:
To find out how many chips Greg had before he gave Cleo 8 chips, we need to set up an equation that represents the situation. Let's denote the number of chips Cleo starts with as C. It is given that Greg starts with twice as many chips as Cleo, so he has 2C chips. After giving Cleo 8 chips, Greg still has 9 more than Cleo. This situation can be represented by the equation 2C - 8 = C + 9. Now, we solve for C.
First, simplify the equation by subtracting C from both sides: 2C - C - 8 = 9, which simplifies to C - 8 = 9. Next, add 8 to both sides to find the value of C: C = 9 + 8, which means C = 17. Now that we know Cleo had 17 chips, we can determine the number of chips Greg had originally by doubling that amount: 2 × 17 = 34. Therefore, Greg had 34 chips before he gave Cleo 8 chips. The correct answer is Option B. 34.