The value of X = 11
Step - by - Step Explanation
What to find? The value of x
To find the value of X, take the ratio of the sides.
[tex]\frac{2x+6}{32}=\frac{52.5}{60}[/tex]Cross -multiply.
[tex]60(2x+6)=52.5(32)[/tex][tex]60(2x+6)=1680[/tex]Divide both-side of the equation by 60.
[tex]\frac{\cancel{60}(2x+6)}{\cancel{60}}=\frac{1680}{60}[/tex]2x + 6 = 28
Subtract 6 from both-side of the equation.
2x + 6 - 6 = 28 - 6
2x =22
Divide both-side of the equation by 2.
[tex]\frac{\cancel{2}x}{\cancel{2}}=\frac{22}{2}[/tex]x = 11
Hence, the value of X = 11