Yami is a business representative of a beauty soap. The company gives her a weekly allowance of $300 to spend on lunches with owners of salons and their staff. Yami is a regular visitor to the restaurant AROMAS. The restaurant charges 7 for cold dish 11 for hot dish including drinks. If each meal costs 5.75% sales tax, which of the following inequalities representatives the number of cold dishes and hot dishes that yami can purchase from AROMAS in one week?

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answer is C.

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Detailed Solution

Since we provided with the information that the restaurant charges 7 for cold dish and hot dish and represents the number of cold dish and h represents the number of hot dishes.
Since 1 hot dishes cost 7h hot dishes cost 7h.
Similarly, 1 cold dishes costs 11c cold dishes costs 11c.
The total cost for hot and cold dishes together will be 7h + 11c.
Now, we just need to find the tax value she has to pay for all meals
Since the tax value is 5.75%
The tax amount is

Adding both of the amount that is the original cost and tax costs, we will get

Simplifying the RHS, we will get

Simplifying the RHS again, we will get

Now, we already discussed that this needs to be less than or equal to 300

Hence, Option (3) is the correct answer.

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