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natali 33 [55]
3 years ago
10

Suppose you pay $24 for a pair of shoes that has been discounted 20%. What is the original price of the shoes? Show how you iden

tify what you are looking for, set up an equation, arrive at your answer, and check your work. Then clearly state your answer. Answer
Mathematics
1 answer:
Rudik [331]3 years ago
6 0
HOW TO WORK OUT
cross multiply so $24 is 80% because it was 20% discounted so..
24 = 80%
?    = 100%

24 x 100 = 2400
2400 divided by 80 = 30

$30 was the original price

HOW TO CHECK 
20% of $30 
again you cross multiply so..
$30 = 100%
?      = 20%

30 x 20 = 600
600 divided by 100 = 6
$30 - $6 = $24 which was the discounted pricw
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Firstly, foil -(k + 1/4) (think of the minus sign as -1):

\frac{2}{3}k-k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}

Next, combine like terms:

-\frac{1}{3}k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}

Next, we have to add 1/3k on both sides, but first we have to find the LCD, or lowest common denominator, of 3 and 12. To do this, list the multiples of both and the lowest one they share is their LCD. In this case, the LCD is 12. Multiply both sides of -1/3 by 4/4 and 1/12 by 1/1:

-\frac{1}{3}\times \frac{4}{4}=-\frac{4}{12}\\\\\frac{1}{12}\times \frac{1}{1}=\frac{1}{12}\\\\-\frac{4}{12}k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}

<em>Now</em> add 4/12k on both sides of the equation:

-\frac{1}{4}=\frac{5}{12}k+\frac{4}{12}

Next, to subtract 4/12 on both sides we need to find the LCD of 4 and 12. It's the similar process as we did with 12 and 3. This time the LCD is also 12. Multiply both sides of -1/4 by 3/3 and 4/12 by 1/1:

-\frac{1}{4}\times \frac{3}{3}=-\frac{3}{12}\\\\\frac{4}{12}\times \frac{1}{1}=\frac{4}{12}\\\\-\frac{3}{12}=\frac{5}{12}k+\frac{4}{12}

<em>Now</em> subtract 4/12 on both sides:

-\frac{7}{12}=\frac{5}{12}k

Lastly, multiply both sides by 12/5, and <u>your answer will be:</u>

-\frac{84}{60}=-\frac{7}{5}=k

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