If 881 # 88 ~ 11 = 873 and 606 # 323 ~ 19 = 589, then what is the value of 821 # 306 ~ 17?
803
Study how the three numbers in each equation are related to the result.
In 881 # 88 ~ 11 = 873, notice that 88 ÷ 11 = 8, and 881 − 8 = 873, which is the given result.
So the rule is: (first number) − (second number ÷ third number).
Verify with 606 # 323 ~ 19: \(323 \div 19 = 17\), and 606 − 17 = 589, which matches.
Now apply the rule to 821 # 306 ~ 17.
Divide the last two numbers: \(306 \div 17 = 18\).
Subtract from the first number: \(821 - 18 = 803\).
Therefore, the value of 821 # 306 ~ 17 is 803.
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