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If 5/6 is equivalent to X/24, then what is the value of X?
  • a)
    15
  • b)
    20
  • c)
    25
  • d)
    30
Correct answer is option 'B'. Can you explain this answer?
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If 5/6 is equivalent to X/24, then what is thevalue of X?a)15b)20c)25d...
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If 5/6 is equivalent to X/24, then what is thevalue of X?a)15b)20c)25d...
Understanding the Problem
To find the value of X in the equation 5/6 = X/24, we need to set up a proportion. This means that the two ratios on either side of the equation are equivalent.
Setting Up the Equation
1. Write the equation:
5/6 = X/24
2. Use cross-multiplication to solve for X:
5 * 24 = 6 * X
Calculating the Values
1. Multiply 5 by 24:
5 * 24 = 120
2. Now the equation looks like this:
120 = 6X
3. To isolate X, divide both sides by 6:
X = 120 / 6
Final Calculation
1. Perform the division:
120 ÷ 6 = 20
2. Thus, the value of X is 20.
Conclusion
The correct answer is option 'B'. To summarize:
- Cross-multiply to set up the equation.
- Calculate 5 times 24 to get 120.
- Divide 120 by 6 to find X.
Hence, X = 20.
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