If 2 frac{1}{2} is added to a number and the | vedclass

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(B) Let the number be $x$.According to the problem,the equation is:$\left[\left(x + 2 \frac{1}{2}ight) 	imes 4 \frac{1}{2} + 3ight] \div 1 \frac{

Vedclass · Accepted Answer

$3 \frac{1}{2}$

Vedclass · Answer

(B) Let the number be $x$.According to the problem,the equation is:$\left[\left(x + 2 \frac{1}{2}ight) 	imes 4 \frac{1}{2} + 3ight] \div 1 \frac{1}{5} = 25$Convert mixed fractions to improper fractions:$\left[\left(x + \frac{5}{2}ight) 	imes \frac{9}{2} + 3ight] \div \frac{6}{5} = 25$Multiply both sides by $\frac{6}{5}$:$\left(x + \frac{5}{2}ight) 	imes \frac{9}{2} + 3 = 25 	imes \frac{6}{5}$$\left(x + \frac{5}{2}ight) 	imes \frac{9}{2} + 3 = 30$Subtract $3$ from both sides:$\left(x + \frac{5}{2}ight) 	imes \frac{9}{2} = 27$Multiply both sides by $\frac{2}{9}$:$x + \frac{5}{2} = 27 	imes \frac{2}{9}$$x + \frac{5}{2} = 6$Subtract $\frac{5}{2}$ from both sides:$x = 6 - \frac{5}{2} = \frac{12 - 5}{2} = \frac{7}{2} = 3 \frac{1}{2}$

If $2 \frac{1}{2}$ is added to a number and the sum is multiplied by $4 \frac{1}{2}$,and $3$ is added to the product,and then dividing the sum by $1 \frac{1}{5}$,the quotient becomes $25$. What is the number?

Similar Questions

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