Final answer:
To find the cost of AnnaMarie's meal and the percent tip she left, you need to use algebraic equations. Start by finding the amount of sales tax and tip, and then set up an equation to find the cost of the meal.
Step-by-step explanation:
To find the cost of AnnaMarie's meal, we need to subtract the tip and the sales tax from the total bill of $45. Let's start by finding the amount of sales tax. The sales tax is 9%, so we can convert it to decimal form by dividing it by 100: 9/100 = 0.09. Then, we multiply the sales tax rate by the cost of the meal to find the amount of sales tax: 0.09 * x = sales tax. Now, let's calculate the tip. The tip amount is 175% of the sales tax, so we can convert it to decimal form by dividing it by 100: 175/100 = 1.75. Then, we multiply the sales tax amount by the tip rate to find the tip amount: 0.09 * x * 1.75 = tip. Finally, we can set up an equation to find the cost of the meal: x + sales tax + tip = total bill. Substitute the values we found into the equation and solve for x: x + 0.09 * x + (0.09 * x * 1.75) = $45. Simplify and solve for x to find the cost of the meal.