Respuesta :
Answer:
[tex]1.26m[/tex]
Step-by-step explanation:
Let m be the cost of meal in dollars.
We have been given that the tax on meal at the restaurant is 5% of meal, so the cost of meal after tax will be m plus 5% of m. We can represent this information in an equation as:
[tex]\text{Cost of meal after tax}=m+(\frac{5}{100}*m)[/tex]
[tex]\text{Cost of meal after tax}=m+0.05m[/tex]
[tex]\text{Cost of meal after tax}=1.05m[/tex]
We are told that Alice decides to leave a tip of 20% of the cost of the meal plus the tax. This means that tip will be 20% of cost of meal after tax.
[tex]\text{Amount of tip}=1.05m*\frac{20}{100}[/tex]
[tex]\text{Amount of tip}=1.05m*0.20[/tex]
[tex]\text{Amount of tip}=0.21m[/tex]
The total cost of meal will be equal to the cost of meal after tax plus amount paid by Alice as the tip.
[tex]\text{Total cost of meal}=\text{Cost of meal after tax+Amount of tip}[/tex]
[tex]\text{Total cost of meal}=1.05m+0.21m[/tex]
[tex]\text{Total cost of meal}=1.26m[/tex]
Therefore, the expression [tex]1.26m[/tex] represents the total amount of Alice's bill in dollars.
