Answer:
4 interval of six months.
Step-by-step explanation:
Given: Joe earn $14 per hour
Blaine earn $18 per hour.
Joe receives a raise of $1.75 every six months
Blaine receives a raise of $0.75 every six months.
Lets assume the number of six month intervals be "x".
Now, finding the number of six months interval require to get Joe´s earning equal to Blaine earning.
Forming an equation to find the six month interval
⇒ [tex]14+(1.75\times x)= 18+(0.75\times x)[/tex]
Solving the equation to find the value of x
⇒ [tex]14+1.75x= 18+0.75x[/tex]
subtracting both side by 0.75x
⇒ [tex]14+x= 18[/tex]
subtracting both side by 14
∴ [tex]x= 4[/tex]
Subtituting the value of x, we will get both Joe and Blaine earning as equal.
[tex]14+(1.75\times x)= 18+(0.75\times x)[/tex]
⇒ [tex]14+(1.75\times 4)= 18+(0.75\times 4)[/tex]
⇒ [tex]\$ 21= \$ 21[/tex]
Hence, after 4 interval of six months, Joe to earn same hourly rate as Blaine.
