Question

Hamburger Heaven is having a lunch special where customers buy one 1/2-pound cheeseburger and get one free. If they set aside 82 2/3 pounds of meat, how many 1/2-pound cheeseburgers can they make?

A.
165
B.
82
C.
248
D.
41

Answer 1

Answer: A. 165

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Step-by-step explanation:

Step one is to convert the mixed number to an improper fraction

`a (b)/(c) = (a*b+c)/(c)\\\\82 (2)/(3) = (82*3+2)/(3)\\\\82 (2)/(3) = (248)/(3)\\\\`

We'll divide that result by 1/2

`(248)/(3) / (1)/(2)\\\\(248)/(3) * (2)/(1)\\\\(248* 2)/(3* 1)\\\\(496)/(3)\\\\`

Dividing by 1/2 is the same as multiplying by 2.

Then use your calculator to find that

`(496)/(3) \approx 165.333\\\\`

Ignore the stuff after the decimal point.

They can make 165 full burgers, and they'll have a bit of leftover meat (which unfortunately isn't enough to make the 166th burger).

Answer 2

Answer: 41

Step-by-step explanation:

I’m rounding, the answer I got was 49, but I assume since it’s close that it would be the answer

Though I’ll go back and see if I missed a step real quick