Answer:
9/16 pounds
Explanation:
The scale reading is the sum of the container weight and the weight of the cheese. The scale reading and the container weight are given, so the weight of the cheese can be calculated.
cheese being weighed = scale reading - container weight
= 1 1/4 - 1/16 = 1 3/16 . . . pounds
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The additional amount needed is the difference between the desired amount and the weight of the cheese on the scale.
cheese needed = desired weight - cheese being weighed
= 1 3/4 -1 3/16 = 9/16 . . . pounds
9/16 pounds of cheese need to be added to the scale.
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Additional comment
You can combine the equations:
cheese needed = desired weight - (scale reading -container weight)
cheese needed = desired weight - scale reading +container weight
= 1 3/4 -1 1/4 +1/16 = 9/16 . . . pounds