Sarah has $200 to spend. She buys a chair for x dollars and pays 6% sales tax. She has y dollars left. What equation models this situation?

A. 200 - 0.06X = Y
b. 200 - 1.06x = y
C. 200 + 1.06X = Y
D. 200 = 0.06X

I chose answer A. Is that the correct answer? If not please show me how to get the correct answer.

b - because she starts with 200 and spends

x dollars + sales tax .06x

x + 0.6x = 1.06x

Subtract what you spent with tax.
1.06x from the 200.

Okay I see now. Thanks John for your help.

To solve this problem, we need to consider the amount Sarah spent on the chair and the amount she has left after the purchase.

Let's break down the problem step by step:

1. Sarah has $200 to spend.
2. She buys a chair for x dollars.
3. She pays 6% sales tax on the chair.
4. She has y dollars left.

We can start by determining the equation that models the situation.

Step 1: She buys a chair for x dollars
This means she spent x dollars on the chair.

Step 2: She pays 6% sales tax on the chair
Sales tax is an additional cost added to the purchase price. In this case, the amount of sales tax is 6% of the purchase price (x). So, the sales tax can be calculated as 0.06x.

Step 3: She has y dollars left
After purchasing the chair and paying the sales tax, Sarah has y dollars left. This means the remaining amount is y.

Therefore, the equation that models this situation is:
200 - (x + 0.06x) = y

Simplifying this equation, we get:
200 - 1.06x = y

So, the correct answer is option B: 200 - 1.06x = y.

If you chose option A, 200 - 0.06x = y, you have missed accounting for the purchase price (x) in the equation. Hence, the correct answer is actually option B, as explained above.