When 75% of a nurnber is added to 75, the result is the number again. The number
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Step-by-step explanation:
Let the number be x.
.
Form the equation:
75% of x is added to 75, the result is x
⇒ 0.75x + 75 = x
.
Solve x:
0.75x + 75 = x
Take away 0.75x from both sides:
75 = 0.25x
Switch sides:
0.25x = 75
Divide both sides by 0.25:
x = 75 ÷ 0.25
x = 300
.
Answer: The number is 300.
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