Respuesta :

$15(100% + 20%) = 15 * 120% = 15 * 1.2 = $18

Answer:

The answer is $18 per pound of nuts.

Step-by-step explanation:

Given that the market wants to make a 20% profit, we can write this mathematically :

Sale price - Purchase price = 20%

We know that the Purchase price is 100% ⇒

Sale price - 100% = 20%

Sale price = 20% + 100%

Sale price = 120%

Therefore, the Sale price will be 120% respect the Purchase price.

Because exist a linear relationship between the price and the percentage, and this relationship is direct, we can write :

The purchase price is 15$ = 100% ⇒

[tex]\frac{15}{100}=\frac{x}{120}[/tex]

[tex]x=\frac{(15).(120)}{(100)}=18[/tex]

We conclude that If 15$ = 100% therefore 18$ = 120%

And $18 per pound of nuts is the sale price If the market wants a 20% profit.

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