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If 15% of X is 45, what is X?
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300
Since 15% is 45, 1% is 3 (by dividing 45 by 15). Therefore, 100% is 3 multiplied by 100, which equals 300.
15% of X is equal to 45.
X=PercentageValue├Ч100тАЛ
Since 15% is 45, 1% is 3 (by dividing 45 by 15). Therefore, 100% is 3 multiplied by 100, which equals 300.
Students often mistakenly calculate 15% of 45 instead of setting up the algebraic equation for X, leading to 6.75.
Define the equation
Translate the phrase '15% of X is 45' into an algebraic equation.
10015тАЛ├ЧX=45
Isolate X
Multiply both sides by 100 and divide by 15 to solve for X.
X=1545├Ч100тАЛ
Perform calculation
Divide 45 by 15 to get 3, then multiply by 100.
X=3├Ч100=300
C is correct because the calculation results in 300, which satisfies the condition that 15% of the value equals 45.
This unitary method approach is highly effective for Profit & Loss and Simple Interest problems where you need to find the base value (Principal or Cost Price).
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