Question : If $\frac{1}{6}$ of $x$ – $\frac{7}{2}$ of $\frac{3}{7}$ equals to $(-\frac{7}{4})$, then the value of $x$ is:
Option 1: –1.5
Option 2: –3
Option 3: –2.5
Option 4: 6
Correct Answer: –1.5
Solution :
Given: $\frac{1}{6}$ of $x$ – $\frac{7}{2}$ of $\frac{3}{7}$ equals to $(-\frac{7}{4})$.
⇒ $\frac{1}{6} × x-\frac{7}{2} ×\frac{3}{7}= -\frac{7}{4}$
⇒ $\frac{x}{6} -\frac{3}{2}= -\frac{7}{4}$
⇒ $\frac{x}{6} =-\frac{7}{4}+\frac{3}{2}$
⇒ $\frac{x}{6} =-\frac{1}{4}$
⇒ $x =-\frac{3}{2}$
⇒ $x=-1.5$
Hence, the correct answer is –1.5.
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