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

Answer:

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

Step-by-step 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:

$10\%\ of\ x.$

$=\frac{10}{100} \times x$

$=0.10\times x$

$=0.10x.$

And, the tip is:

$15\%\ of \ x.$

$=\frac{15}{100} \times x$

$=0.15\times x$

$=0.15x.$

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.