Answer: Second Option
18
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] of a number is:
[tex]\frac{3}{4}x[/tex]
[tex]\frac{3}{4}[/tex] of a number is increased by [tex]\frac{1}{2}[/tex] is equal to 14
This is:
[tex]\frac{3}{4}x+\frac{1}{2}=14[/tex]
Now we solve the equation for the variable x
[tex]\frac{3}{4}x=14-\frac{1}{2}[/tex] → Subtract [tex]\frac{1}{2}[/tex] on both sides of the equation
[tex]\frac{3}{4}x=\frac{27}{2}[/tex]
[tex]x=\frac{27}{2}*\frac{4}{3}[/tex] → Multiply by [tex]\frac{4}{3}[/tex] on both sides of the equation
[tex]x=9*2[/tex]
[tex]x=18[/tex]
