Question

Yami is business representative of a beauty soap. The company gives her weekly allowance of 300$tospendonluncheswithownerofsalonsandtheirstaffs.YamiisregularvisitorofrestaurantAROMAS.Therestaurantcharges$7$forcolddish,$11$forahotdish,includingdrinks.Ifeachmealcosts$5.75\left(c\right)$andhotdishes$\left(h\right)$ that Yami can purchase from AROMAS in one week.

• A. $7c+11h\le 1.0575\left(300\right)$
• B. $7c+11h\ge 1.0575\left(300\right)$
• C. $1.0575(7c+11h)\le 300$
• D. $1.0575(7c+11h)\ge 300$

Answer 1

The correct option is C $1.0575(7c+11h)\le 300$

Given that Aromas restaurant charges $7$ for cold dish, $11$ for hot dish including drinks.

If the number of cold dishes $\left(c\right)$ and number of hot dishes $\left(h\right)$

Then total cost of hot dishes and cold dishes $=7c+11h$

But restaurant charged each meal costs $5.75\%$ sales tax, then total cost of each meal with tax $=$ $\frac{105.75}{100}(7c+11h)=1.0575(7c+11h)$

But company gives her weekly allowance of $300$

Then the inequalities that Yami can purchase from aroma in one week is

$1.0575(7c+11h)\le 300$