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: Define variables and equation

Let \( x \) be the price of the meal without tip. The amount charged is the meal price plus 15% tip, so the equation is \( x + 0.15x = 43.70 \). Combining like terms, we get \( 1.15x = 43.70 \).

Step2: Solve for meal price

To find \( x \), divide both sides of the equation by 1.15: \( x=\frac{43.70}{1.15} \). Calculating this, \( x = 37.999\approx38.00 \) (rounded to two decimal places).

Step3: Calculate the tip

The tip is 15% of the meal price, so tip \( = 0.15\times38.00 = 5.70 \). We can also calculate it as \( 43.70 - 38.00 = 5.70 \).

Answer:

The price of the meal without tip is \$38.00
The amount of the tip is \$5.70