Question:
Find the value of \(A\) in:
\[
5 + 12 \times 10 \times \frac{120}{240} = A \times 10
\]
Find the value of \(A\) in:
\[
5 + 12 \times 10 \times \frac{120}{240} = A \times 10
\]
Show Hint
Always follow BODMAS (Brackets, Orders, Division/Multiplication, Addition, Subtraction) in order.
Updated On: Aug 11, 2025
- 11
- 24.5
- 34
- 6.5
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The Correct Option is C
Solution and Explanation
First, simplify the fraction:
\[
\frac{120}{240} = 0.5
\]
Now,
\[
5 + 12 \times 10 \times 0.5 = 5 + 12 \times 5
\]
\[
= 5 + 60 = 65
\]
We have:
\[
65 = A \times 10 \Rightarrow A = \frac{65}{10} = 6.5
\]
Wait — this suggests a mismatch, so check the original order of operations:
If it’s \( 5 + 12 \times 10 \times \frac{120}{240} \), then:
\[
12 \times 10 = 120, 120 \times 0.5 = 60, 5 + 60 = 65
\]
Thus,
\[
65 = A \times 10 \Rightarrow A = 6.5
\]
Hence, the correct value is \( \boxed{6.5} \).
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