Give the step-by-step reasoning process and then the final answer. It takes 3 ounces of wax to detail Kellan’s car and 4 ounces to detail his SUV. He bought an 11-ounce bottle of vehicle wax, but spilled 2 ounces before using it. How many ounces does he have left after waxing his car and SUV?
user
Sure, let's work through this problem step by step.

1. In total, Kellan bought an 11-ounce bottle of wax.

2. He spilled 2 ounces of it, bringing the total volume to 9 ounces.

3. He used some of the remaining 9 ounces to wax his car, but the given problem doesn't provide any information about how much wax he used for his car. So, let's call this "unknown".

4. After waxing his car, Kellan had 9 ounces - unknown ounces = leftover ounces.
   Here, we're performing subtraction, treating "unknown ounces" as an unknown number.
   
5. The total amount of wax Kellan used to wax both his car and SUV can be found by adding the amount used on his car (the "unknown" amount) and the amount required to wax his SUV - which we know is 4 ounces.

6. So, total wax used = unknown + 4 = leftover ounces + unknown + 4.

7. Simplify this by adding "leftover + unknown" on both sides, which gives:
   total wax used = (leftover ounces) + (unknown + 4).

8. But, we know that:
   1. The remaining amount is (9 - unknown).
   2. "Unknown" is a single unknown number, not a sum. So, we can't add 4 to it directly.

9. Then, let's rearrange the expression by using the distributive property, which says that any number multiplied by a sum is equal to the product of that number and each term in the sum added together:

     total wax used = (9 - unknown) + (4 + unknown)

10. Simplify by combining like terms:

     total wax used = (9 - unknown) + (unknown + 4)

11. Now, we can subtract the common term (unknown) from both sides and get:

     total wax used = 13 - unknown

12. Next, add "unknown" to both sides:

     total wax used + unknown = 13

13. But, we know that the total amount of wax used (including the unknown amount) is equal to the total volume minus the amount spilled (9 ounces in this case), i.e., Total_used = Total_bottle_volume - Spilled_volume.

14. So, substitute this for "total wax used" above:

     9 oz - 2 oz + unknown = 11 oz

15. Solve for "unknown":

     unknown = 11 oz - 9 oz + 2 oz = 1 oz

16. Therefore, Kellan used 1 ounce of wax on his car.

17. Now, we know how much wax was used on his car, so find out how many ounces remain:

    Remaining_ounces = bottle_volume - amount_used - amount_spilled

18. Plug in the values:

    Remaining_ounces = 11 oz - 1 oz - 2 oz = 8 oz

19. So, Kellan has 8 ounces of wax left after detailing his car and SUV.

Therefore, after detailing both his SUV and car, Kellan has 8 ounces of wax left.
assistant
Give the step-by-step reasoning process and then the final answer. It takes 3 ounces of wax to detail Kellan’s car and 4 ounces to detail his SUV. He bought an 11-ounce bottle of vehicle wax, but spilled 2 ounces before using it. How many ounces does he have left after waxing his car and SUV?
user
Sure, let's break this down step by step:

1. Kellan started with an 11-ounce bottle of vehicle wax.
2. He unfortunately spilled 2 ounces of wax, so we subtract the spilled wax from the total wax he started with: 11 ounces - 2 ounces = 9 ounces.
3. Next, he detailed his car, which takes 3 ounces of wax. So, we subtract the wax used on the car from the remaining wax: 9 ounces - 3 ounces = 6 ounces.
4. Then, he detailed his SUV, which takes 4 ounces of wax. So, we subtract the wax used on the SUV from the remaining wax: 6 ounces - 4 ounces.

After going through these steps, Kellan would have 2 ounces of wax left.
assistant