Answer:
Option (a) is correct.
x = 48.125
Step-by-step explanation:
Given: \(x+\frac{x}{7}+ \frac{1}{11}(x+\frac{x}{7})=60\)
We have to solve for x,
Consider the given expression \(x+\frac{x}{7}+ \frac{1}{11}(x+\frac{x}{7})=60\)
First solving for brackets, we get,
\(x+\frac{x}{7}=\frac{7x+x}{7}=\frac{8x}{7}\)
Put , we get,
\(x+\frac{x}{7}+ \frac{1}{11}(\frac{8x}{7})=60\)
Simplify, we have,
\(x+\frac{x}{7}+(\frac{8x}{77})=60\)
Taking LCM(7,77) = 77
We have,
\(\frac{77x+11x+8x}{77}=60\)
Simplify, we have,
\(\frac{96x}{77}=60\)
Multiply both side by 77, we have,
\(96x = 60 \times 77\)
\(96x =4620\)
Divide both side by 96, we have,
\(x=\frac{4620}{96}=48.125\)
Thus, x = 48.125
Option (a) is correct.
