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Determine the operations represented by A, B, and C.

Business/Management

ScanSolve AI Answer

Answer

88\text{88}

Step-by-step solution

3 steps
  1. Determine the operations represented by A, B, and C.

    We are given two equations:

    1. 30 A 10 B 30 C 10=3730 \text{ A } 10 \text{ B } 30 \text{ C } 10 = 37
    2. 45 A 15 B 18 C 9=5845 \text{ A } 15 \text{ B } 18 \text{ C } 9 = 58

    Let's test common mathematical operations. If we assume:
    A = Addition (+)
    B = Subtraction (-)
    C = Division (÷)

    Let's check the first equation:

    30+10−30÷1030 + 10 - 30 \div 10

    Following the order of operations (BODMAS/PEMDAS):
    First, division: 30÷10=330 \div 10 = 3
    Then, addition and subtraction from left to right:
    30+10−3=40−3=3730 + 10 - 3 = 40 - 3 = 37
    This matches the given result for the first equation.

    Now, let's check the second equation with the same operations:

    45+15−18÷945 + 15 - 18 \div 9

    First, division: 18÷9=218 \div 9 = 2
    Then, addition and subtraction from left to right:
    45+15−2=60−2=5845 + 15 - 2 = 60 - 2 = 58
    This also matches the given result for the second equation.

    So, the operations are:
    A = +
    B = -
    C = ÷

  2. Apply the determined operations to the target expression.

    The target expression is:
    64 A 34 B 50 C 5=?64 \text{ A } 34 \text{ B } 50 \text{ C } 5 = ?

    Substitute the operations:

    64+34−50÷564 + 34 - 50 \div 5
  3. Calculate the value of the expression.

    Following the order of operations:
    First, perform the division:

    50÷5=1050 \div 5 = 10

    The expression becomes:

    64+34−1064 + 34 - 10

    Next, perform the addition:

    64+34=9864 + 34 = 98

    The expression becomes:

    98−1098 - 10

    Finally, perform the subtraction:

    98−10=8898 - 10 = 88

    The value of the expression is 88.

    Comparing with the given options:

    1. 87
    2. 88
    3. 90
    4. 80

    The calculated value matches option 2.

    The final answer is 88\text{88}

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