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sveta [45]
3 years ago
14

A wholesaler of kitchen appliances offers a discount of 12% on the first $ 10,000 worth of goods and 17% on additional goods.Wha

t would be the final cost of $ 18,000 worth of appliances?show your workings.
Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

First, let's figure how much will 12% discount take off 10,000 dollars worth of goods.

To do that, we can multiply 12 by 10,000 and then divide by 100 to get the discount.

12 x 10,000 = 120,000

120,000/100 = 1,200

The discount for 12% of 10,000 is 1,200 dollars off.

Then, we would subtract that from 10,000.

10,000 - 1,200 = 8,800

After that, we need to solve for the amount taken off 17% of 8,800.

Same thing, multiply 17 by 8,800 and then divide by 100.

17 x 8,800 = 149600

149,600/100 = 1496

Lastly subtract that from 8800.

8800 - 1496 = 7304

Therefore, the final cost of $18,000 worth of appliances is $7,304 plus tax.

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

-4x = y - 42

x = 18 + y

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                                                                                                -4(18 + y) = y - 42
  2. Distribute -4:                                                                                                   -72 - 4y = y - 42
  3. [Addition Property of Equality] Add 4y on both sides:                                 -72 = 5y - 42
  4. [Addition Property of Equality] Add 42 on both sides:                                -30 = 5y
  5. [Division Property of Equality] Divide 5 on both sides:                               -6 = y
  6. Rewrite/Rearrange:                                                                                         y = -6

<u>Step 3: Solve for </u><em><u>x</u></em>

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  2. Substitute in <em>y</em>:                                                                                                x = 18 - 6
  3. Subtract:                                                                                                           x = 12
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