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Answer the question based on the following information.
The following table presents the sweetness of different items relative to sucrose, whose sweetness is taken to be $1.00.$

Lactose 0.16
Maltose 0.32
Glucose 0.74
Surcose 1.00
Fructose 1.70
Saccharin 675.00


What is the minimum amount of sucrose (to the nearest gram) that must be added to one gram of saccharin to make a mixture that will be at least $100$ times as sweet as glucose?

  1. $7$
  2. $8$
  3. $9$
  4. $100$
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