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