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garik1379 [7]
3 years ago
14

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?
Mathematics
1 answer:
vitfil [10]3 years ago
5 0

Answer:

The cost of her dinner without tax or tip is <u>$22</u>.

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.

<u><em>As given, she spends a total $27.50 on her dinner.</em></u>

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

<em>Dividing both sides by 1.25 we get:</em>

x=22

x=\$22.

Therefore, the cost of her dinner without tax or tip is <u>$22</u>.

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