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If 50 is subtracted from 60% of a number, then the result is 40. 60% of the same number is:
90
120
150
60
90
Translate the statement directly into an algebraic equation: 60% of x is 0.6x, then subtract 50 and equate to 40, leading to 0.6x = 90.
60% of a number minus 50 equals 40.
0.60xтИТ50=40
Translate the statement directly into an algebraic equation: 60% of x is 0.6x, then subtract 50 and equate to 40, leading to 0.6x = 90.
Students often misinterpret 'subtracted from' as 50 - 0.6x, when it should be 0.6x - 50.
Define the equation
Let the number be x. The problem states that 60% of x minus 50 is 40.
0.60xтИТ50=40
Solve for the percentage value
Add 50 to both sides of the equation to isolate the term with x.
0.60x=40+50=90
Verification
The question asks for the value of 60% of the number, which is exactly 0.60x.
0.60x=90
A is correct because, based on the equation 0.60xтИТ50=40, we find that 0.60x=90.
Always pay close attention to the order of subtraction when reading word problems; 'A subtracted from B' means BтИТA, not AтИТB.
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