Question 1042265: Please help me solve this problem:
Allen went to a deli to buy cheese that is sold by the pound. The scale that the deli uses is accurate within half of an ounce. According to the scale, Allen's purchase weighed exactly two pounds.
Which of the following are possible actual weights for Allen's cheese?
a) 1.87 pounds
b) 2.03 pounds
c) 2.10 pounds
d) 1.97 pounds
e) 1.96 pounds
f) 2.04 pounds
Note: There are 16 ounces in one pound.
Thanks and have a good day.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 1 pound = 16 ounces
2 pounds = 32 ounces (multiply both sides by 2)
Since the scale is accurate within half an ounce, it means that the lowest the scale can go is 31.5 ounces. If it went to 31 ounces, then it would be too far. The highest it can go is 32.5 ounces
Convert 31.5 ounces to pounds to get 31.5*(1/16) = 1.96875 which rounds to 1.97 pounds
Convert 32.5 ounces to pounds to get 32.5*(1/16) = 2.03125 which rounds to 2.03 pounds
So the only possible answers are choices B and D
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