If "A" denotes "multiplied by", "B" denotes "subtracted from", "C" denotes "added to" and "D" denotes "divided by", then evaluate the expression:
8 B 31 C 49 D 7 A 16=?
- A89
- B98
- C102
- D11
Solution & Step-by-step Explanation
Let's replace the symbols with their corresponding mathematical operators:
A→×
B→−
C→+
D→÷
Substituting these into the given expression:
8−31+49÷7×16
Applying the BODMAS rule (Division, Multiplication, Addition, Subtraction):
Division: 49÷7=7
Expression becomes: 8−31+7×16
Multiplication: 7×16=112
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Expression becomes: 8−31+112
Addition: Combine positive terms (8+112=120)
Expression becomes: 120−31
Subtraction: 120−31=89
The final value is 89.
A→×
B→−
C→+
D→÷
Substituting these into the given expression:
8−31+49÷7×16
Applying the BODMAS rule (Division, Multiplication, Addition, Subtraction):
Division: 49÷7=7
Expression becomes: 8−31+7×16
Multiplication: 7×16=112
Homework.Study.com
Expression becomes: 8−31+112
Addition: Combine positive terms (8+112=120)
Expression becomes: 120−31
Subtraction: 120−31=89
The final value is 89.