# SOLUTION: Define the variable, Write an inequality and solve the problem? Seventy five percent of a number is at most 100.

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 Question 74794This question is from textbook Algebra I : Define the variable, Write an inequality and solve the problem? Seventy five percent of a number is at most 100.This question is from textbook Algebra I Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!Seventy five percent of a number is at most 100 . Let the unknown number be represented by x. . 75% of x means multiply x by 75%. But we don't generally multiply directly by a percent. Instead we change the percent to its equivalent decimal form by moving the decimal point two places to the left and dropping the % sign. So the decimal form of 75% is 0.75. Multiplying that by x results in 0.75*x and we are told that this amount cannot be greater than 100. Therefore, it must be less than or equal to 100. In equation form this is: . . You can solve for x by dividing both sides of this inequality by 0.75 because that is the multiplier of x. . The result of this division is: . . On the left side the 0.75 in the numerator cancels with the 0.75 in the denominator, leaving just x. And on the right side the division of 100 by 0.75 results in 133.3333.... . So, the answer is: . ... . Which means that x must be less than or equal to 133.3333... or less than or equal to 133 and 1/3. . Hope this helps you with your understanding of this problem.