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?

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

So, the tax is:

And, the tip is:

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

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

Dividing both sides by 1.25 we get:

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

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