Sixty-five percent of a number is 21 less tha | vedclass

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Question

(C) Let the number be $x$.According to the problem,$65\%$ of $x$ is $21$ less than $\frac{4}{5}$ of $x$.This can be written as the equation: $\frac{65

Vedclass · Accepted Answer

$140$

Vedclass · Answer

(C) Let the number be $x$.According to the problem,$65\%$ of $x$ is $21$ less than $\frac{4}{5}$ of $x$.This can be written as the equation: $\frac{65}{100}x = \frac{4}{5}x - 21$.Rearranging the terms,we get: $\frac{4}{5}x - \frac{65}{100}x = 21$.Simplifying the fraction $\frac{65}{100}$ gives $\frac{13}{20}$.So,$\frac{4}{5}x - \frac{13}{20}x = 21$.To subtract,find a common denominator,which is $20$: $\frac{16}{20}x - \frac{13}{20}x = 21$.$\frac{3}{20}x = 21$.$x = 21 	imes \frac{20}{3} = 7 	imes 20 = 140$.Thus,the number is $140$.

Sixty-five percent of a number is $21$ less than four-fifth of that number. What is the number?

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