Question

diners frequently add a 15% tip when charging a meal to a credit card. what is the price of the meal without the tip if the amount charged is $43.70? how much was the tip?

the price of the meal without tip is $\square

the amount of the tip is $\square.

Explanation:

Step1: Let the meal price be \( x \)

The total charged is meal price + 15% tip, so \( x + 0.15x = 43.70 \) which simplifies to \( 1.15x = 43.70 \).

Step2: Solve for \( x \)

Divide both sides by 1.15: \( x=\frac{43.70}{1.15}=37.999\approx38.00 \) (rounded to two decimal places).

Step3: Calculate the tip

Tip = Total charged - Meal price = \( 43.70 - 38.00 = 5.70 \).

Answer:

s:
The price of the meal without tip is \(\$38.00\)
The amount of the tip is \(\$5.70\)