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Hamburger Heaven is having a lunch special where customers buy one 1/2- pound cheeseburger and gets one free. If they set aside 50 2/3 pounds of meat, how many 1/2- pound cheeseburgers can they make?

User Youri
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2 Answers

4 votes

Final answer:

Hamburger Heaven can make 101 whole 1/2-pound cheeseburgers with the 50 2/3 pounds of meat they have set aside, after converting the pounds into ounces and dividing by the weight of one cheeseburger.

Step-by-step explanation:

To find out how many 1/2-pound cheeseburgers can be made from 50 2/3 pounds of meat, we first convert the total amount of meat into ounces since there are 16 ounces in 1 pound. We then divide the total number of ounces by the number of ounces in a 1/2-pound cheeseburger to find out how many cheeseburgers can be made.

First, conversion of pounds to ounces:

  • 50 2/3 pounds = (50 + 2/3) pounds
  • =(50 * 16) + (2/3 * 16) ounces
  • =(800) + (32/3) ounces
  • =(800) + (10 2/3) ounces
  • = 810 2/3 ounces

Now, we find out how many 1/2-pound cheeseburgers can be made:

  • 1/2 pound = 8 ounces (since 1 pound is 16 ounces)
  • Total number of burgers = Total weight in ounces / Weight per burger
  • Total number of burgers = 810 2/3 ounces / 8 ounces per burger
  • Total number of burgers = 101 1/3 burgers

Since we can't make a third of a burger, Hamburger Heaven can make 101 whole 1/2-pound cheeseburgers with the meat set aside.

User Csaba Okrona
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9.0k points
6 votes

We are given that in one cheese burger, the amount of meat that it contains is a half pound, so:

meat in a cheese burger = 0.5 pound /cheese burger ---> 1

We are also given that the total pounds of meat available for making the cheese burger is:

total meat available = 50 2 / 3 pounds

if expressed in decimal form is also equivalent to:

total meat available = 152 / 3 pounds = 50.67 pounds ---> 2

Therefore to get the amount of burgers that can be make, we divide 2 by 1 to get units in cheese burger:

number of cheese burger = 50.67 pounds / (0.5 pound /cheese burger)

number of cheese burger = 101.33

Therefore about 101 cheese burgers can be made.

User Rifki
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