Answer:
Explanation:
To copy half of an 8 1/2 x 11 inch paper to a full sheet without losing any of the original document, you need to enlarge it such that the dimensions of the copy match those of the original.
Half of an 8 1/2 x 11 inch paper is 4 1/4 x 5 1/2 inches. Therefore, we need to find the percentage enlargement that will enlarge the 4 1/4 x 5 1/2 inch document to an 8 1/2 x 11 inch document.
Let x be the percentage enlargement. Then, we can set up the following equation:
(1 + x/100)(4 1/4) = 8 1/2
Simplifying this equation, we get:
(17/4)(1 + x/100) = 17/2
Multiplying both sides by 4/17, we get:
1 + x/100 = 2
Solving for x, we get:
x/100 = 1
x = 100
Therefore, the maximum percentage enlargement that will copy half a sheet of 8 1/2 x 11 paper to a full sheet of 8 1/2 x 11 paper without losing any of the original document is 100%.