Question

Anna enjoys having dinner at a restaurant in a town where the sales tax on meals is 10%. She leaves 15% tip before the sales tax is applied, and the tax is calculated on the pre-tip amount. She spends a total of $27.50 on her dinner. What was the cost of her dinner without tax or tip?

Answer 1

the cost of her dinner without tax or tip is $22.

Answer 2

The cost of her dinner without tax or tip is $22.

Explanation:

Given:

Anna enjoys having dinner at a restaurant in a town where the sales tax on meals is 10%.

She leaves 15% tip before the sales tax is applied, and the tax is calculated on the pre-tip amount.

She spends a total of $27.50 on her dinner.

Now, to find the cost of her dinner without tax or tip.

Let the cost of dinner without tax or tip be
`x.`

So, the tax is:

`10\%\ of\ x.`

`=(10)/(100) * x`

`=0.10* x`

`=0.10x.`

And, the tip is:

`15\%\ of \ x.`

`=(15)/(100) * x`

`=0.15* x`

`=0.15x.`

As given, she spends a total $27.50 on her dinner.

Now, to get the cost of her dinner without tax or tip:

`x+0.15x+0.10x=27.50`

`x+0.25x=27.50`

`1.25x=27.50`

Dividing both sides by 1.25 we get:

`x=22`

`x=\$22.`

Therefore, the cost of her dinner without tax or tip is $22.