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kramer
3 years ago
11

A store bought pants at a wholesale price of $15. They retail the pants for $45. What is the amount of change? What is the perce

nt increase?
Mathematics
1 answer:
9966 [12]3 years ago
3 0

Answer: Amount of change : $30

percent increase : 200%

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Wholesale price: $15 </em>
  • <em>Retail price: $45 </em>

To obtain the amount of change we have to subtract the wholesale price to the retail price:

Mathematically speaking:

45 -15 = $30

For the percent increase, the amount of change (30) is some percent of the original price (15). So:

30 / 15 =2 (decimal form)

If we multiply it by 100, the percentage is:

200%

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Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

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<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

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And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

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