Question

Alice is paying her bill at a Restaurant. But tax on the cost of a male is 5%. She decides to leave a tip 20% of the cost of the meal plus the tax

Answer 1

`1.26m`

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:

`\text{Cost of meal after tax}=m+((5)/(100)*m)`

`\text{Cost of meal after tax}=m+0.05m`

`\text{Cost of meal after tax}=1.05m`

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.

`\text{Amount of tip}=1.05m*(20)/(100)`

`\text{Amount of tip}=1.05m*0.20`

`\text{Amount of tip}=0.21m`

The total cost of meal will be equal to the cost of meal after tax plus amount paid by Alice as the tip.

`\text{Total cost of meal}=\text{Cost of meal after tax+Amount of tip}`

`\text{Total cost of meal}=1.05m+0.21m`

`\text{Total cost of meal}=1.26m`

Therefore, the expression
`1.26m` represents the total amount of Alice's bill in dollars.