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Ordering Lunch:
After Valerie Fandl is seated in a restaurant, she realizes that she only has $20.00. If she must pay a 7% sales tax and wishes to leave a 15% tip on the total bill (meal plus tax), what is the maximum price of the lunch she can order?

Price Reductions:
During the first week of a going-out-of-business sale, Sam's General Store reduces all prices by 10%. The second week of the sale, Sam's reduces all items by an additional $5. If Jim Condor bought a calculator for $49 during the second week of the sale, find the original price of the calculator.

Farm Divisions:
Deborah Schmidt's farm is divided into three regions. The third region is 4 acres less than three times the size of the smallest region. If the total acreage of the farm is 512 acres, find the area of each of the three regions.

Selling Paintings:
Each of J. P.'s paintings sells for $500. The gallery where he displays his work charges him $1350 a month plus a 10% commission on sales. How many paintings must J. P. sell in a month to break even?

Comparing Toy Sales:
Kristen Hodge is shopping for a certain bicycle for her niece and knows that Toys "R" Us and Wal-Mart sell the bike for the same price. On December 26, Toys "R" Us has the bike on sale for 37% off the original price, and Wal-Mart has the bike on sale for $50 off the original price. After visiting both stores, Kristen discovers that the sale prices for the bike at the two stores are also the same.

a) Determine the original price of the bike.
b) Determine the sale price of the bike.

Answer :

Final answer:

The maximum price of the lunch Valerie can order is approximately $26.01.

Explanation:

To find the maximum price of the lunch Valerie can order, we need to calculate the amount of sales tax and tip, and subtract them from her total budget of $20.00.

First, let's calculate the sales tax. Sales tax is calculated by multiplying the price by the tax rate (in decimal form). In this case, the tax rate is 7%, which is equivalent to 0.07.

Let's assume the price of the lunch is 'x' dollars. The sales tax would be 0.07x dollars.

Next, let's calculate the tip. The tip is calculated by multiplying the total bill (meal plus tax) by the tip rate (in decimal form). In this case, the tip rate is 15%, which is equivalent to 0.15.

The total bill would be the price of the lunch plus the sales tax, which is 'x + 0.07x = 1.07x' dollars. The tip would be 0.15 times the total bill, which is '0.15 * 1.07x = 0.161x' dollars.

Now, let's calculate the maximum price of the lunch Valerie can order. We need to subtract the sales tax and tip from her total budget of $20.00.

Equation: x - (0.07x + 0.161x) = 20

Simplifying the equation, we get:

0.769x = 20

x = 20 / 0.769

x ≈ 26.01

Therefore, the maximum price of the lunch Valerie can order is approximately $26.01.

Learn more about calculating the maximum price here:

https://brainly.com/question/31750077

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