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multi-step percent application directions: use your understanding of pe…

Question

multi-step percent application
directions: use your understanding of percentages to complete the table below. be sure to show work
problem\tset-up\twork & solution

  1. francis heard that a car

stereo system was on sale for
30% off. if the sale price was
$57.75, what was the original
price of the stereo?
\t\t

  1. mr. robins earns a commission

on each airfare he books. at the
end of the day, he had book
$208.60 worth of airfare and
earned $31.29. what is mr.
robins’ commission rate?
\t\t

  1. the bill at a restaurant came

to $136.40. the patrons decided
to leave a 15% tip. what was
the total bill including the tip?
\t\t

  1. winter coats are marked 70%

off on february 1st. if a coat
costs $57.75 on january 31st,
how much will it cost on
february 1st?
\t\t
turn over!!!!!!!!!!!!!!!!!!!!!!!!!!

Explanation:

Response
Problem 3:

Step1: Calculate the tip amount

To find the tip, we use the formula for percentage of a number: $Tip = Bill \times \text{Tip Percentage}$. So, the tip is $136.40 \times 0.15$.
$136.40 \times 0.15 = 20.46$

Step2: Calculate the total bill

The total bill is the original bill plus the tip. So, $Total = Bill + Tip$.
$136.40 + 20.46 = 156.86$

Step1: Find the discount amount

The discount is 70% of the original price. So, $Discount = 57.75 \times 0.70$.
$57.75 \times 0.70 = 40.425$

Step2: Calculate the sale price

The sale price is the original price minus the discount. So, $Sale\ Price = Original\ Price - Discount$.
$57.75 - 40.425 = 17.325$ (which rounds to $\$17.33$ if we consider two decimal places for currency, or we can keep it as $\$17.325$)

Answer:

The total bill including the tip is $\$156.86$.

Problem 4: