Question

7/8 of x added to 3/8 is 1/4.Find the value of x.

Answer 1

》 7/8 of x added to 3/8 is 1/4.

According to question,

=> $\dfrac{7}{8}$ of x + $\dfrac{3}{8}$ = $\dfrac{1}{4}$

=> $\dfrac{7}{8}$ × x + $\dfrac{3}{8}$ = $\dfrac{1}{4}$

=> $\dfrac{7x}{8}$ + $\dfrac{3}{8}$ = $\dfrac{1}{4}$

=> $\dfrac{7x}{8}$ = $\dfrac{1}{4}$ - $\dfrac{3}{8}$

=> $\dfrac{7x}{8}$ = $\dfrac{2\:-\:3}{8}$

=> $\dfrac{7x}{8}$ = $\dfrac{1}{8}$

=> $7x$ = $\dfrac{1}{8}\:\times\:8$

=> $7x$ = $1$

=> $x$ = $\dfrac{1}{7}$

=> $x$ = $0.14286$

______________________________

x = 0.14 (approx.)

_______________ [ ANSWER ]

______________________________

☆ VERIFICATION :

From above calculations we have x = 0.14286

Put value of x in this : $\dfrac{7}{8}$ × x + $\dfrac{3}{8}$ = $\dfrac{1}{4}$

=> $\dfrac{7(0.14286)}{8}$ + $\dfrac{3}{8}$ = $\dfrac{1}{4}$

=> $\dfrac{1}{8}$ + $\dfrac{3}{8}$ = $\dfrac{1}{4}$

=> $\dfrac{1\:+\:3}{8}$ = $\dfrac{1}{4}$

=> $\dfrac{1}{4}$ = $\dfrac{1}{4}$

_____________________________