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lions [1.4K]
3 years ago
5

Jan went grocery shopping and only bought items which had been marked down. The items she bought, along with their prices, can b

e seen below. Item Final Price Markdown Chicken $8.47 15% Milk $2.16 20% Onions $0.89 10% Potato chips $1.45 12% Oranges $1.36 25% Flour $4.39 18% Compared to if she had bought no items on sale, by what percent was Jan’s total grocery bill discounted? Round to two decimal places. a. 15.85% b. 16.50% c. 16.65% d. 17.50%
Mathematics
2 answers:
melamori03 [73]3 years ago
7 0
<span>I copied your table and added one column and one line.
It is all explained below.

Item               Final Price    Markdown   Original Price
Chicken         $8.47            15%             $9.96
Milk               $2.16             20%             $2.70
Onions          $0.89             10%             $0.99
Potato chips  $1.45             12%             $1.65
Oranges        $1.36             25%             $1.81
Flour             $4.39             18%</span>              $5.35
Totals          $18.72                                $22.46

First, find each original price. To do that, change the markdown into a decimal. Then subtract it from 1. Then divide the discounted price by it. For example, for the chicken, the markdown is 15%. Change it to 0.15. Then 1 - 0.15 = 0.85. Now divide $8.47 by 0.85, and the original price is $9.96. I did that for all items and added the last column to the table above.

Now you add the discounted prices and add the original prices. I wrote them as the last line in the table above. Now you need to know what is the overall percent discount. Divide the total discounted price by the total original price.
18.72/22.46 = 0.83348 = 83.35%
The discounted price is 83.35% of the original price.
The original price is 100% of the original price.
The original price was 100% of the original price. The discounted price is 83.35% of the original price. Now subtract 100% - 18.35% = 16.65%.
The overall markdown was 16.65%
viktelen [127]3 years ago
5 0

Answer:

c

Step-by-step explanation:

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Step-by-step explanation:

Given the data in the question;

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3 years ago
Does anyone understand how to do this
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Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

(x^2+12x)+(10x+120)=0

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Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

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If x = -10, then

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y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

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