a carton of large grade a eggs weights about 1.5 pounds if a carton holds a dozen eggs how many ounces does each egg weigh

Respuesta :

The answer is:  " 2 oz. " .  (Assuming that EACH egg weighs the same).
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Explanation:
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Divide "1.5 lb"  (that is, "1.5 pounds") ;  {Note:  "lb." = the abbreviation/symbol                                                                 for weight in pounds}.
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          by "12" (note: "one dozen" of anything equals "12") ; to find the weight of one egg in "pounds" (lb.);  This is assuming that EACH INDIVIDUAL EGG WEIGHS THE SAME AMOUNT.  Then we convert this value (weight of one egg, in pounds);  to:  "weight of one egg in OUNCES (abbreviation = "oz.").

  →  Note the exact conversion:   1 lb. = 16 oz.
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  →   1.5 lb. ÷ 12 = 3/2 lb. ÷ 12/1 
         
         =  3/2 lb. * 1/12 = (3*1)/(2*12)  lb.
 
         = (3/24) lb. = (3÷3)/(24÷3) lb. 
  
                       =     ⅛ lb. 
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→ Now, convert  " ⅛  lb."  to  "ounces (oz.)" .

     → Note the exact conversion:  16 oz. = 1 lb.
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So;   (⅛  lb) * (16 oz / 1 lb)

        =  (⅛ * 16) oz = (⅛ * ¹⁶⁄₁ ) oz. 
 
        =  ⁽¹ * ¹⁶ ⁾ ⁄₍₈ ₓ ₁₎   oz = ¹⁶⁄₈  oz = 2 oz.
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  The answer is:  Each egg weighs 2 oz.  (assuming that EACH eggs weighs the same.).
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To check our work:  Is our answer:  "2 oz." (weight) per egg;  reasonable??
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Note:  We have a dozen of eggs (quantity of "12").   The total weight (in "lb.", or "pounds", is "1.5 lb". (given in our problem).  Since, 16 oz. = 1 lb. (exact conversion); let us convert the given "1.5 lbs" into oz.;  

1.5 lb. * (16 oz / 1 lb) ;  = (1.5 * 16) oz. = 24 oz.

2 oz. (weight) per egg * 12 eggs = 24 oz.  .  24 oz. =? 24 oz. ?  Yes!   So our answer seems very reasonable!
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