Answer: 17.5824 % ( Approx)
Step-by-step explanation:
Let the hours spent by Claudia = x hours,
According to the question,
Hours spent by Jodie = 25 % less than Claudia
⇒ Hours spent by Jodie = the hours spent by Claudia - 25% of the hours spent by Claudia
= x - 25 % of x
= x - 0.25 x ( Since, 1% = 0.01⇒ 25 % = 0.25 )
= 0.75 x
Also, Hours spent by Gianna = 9 % less than Claudia
⇒ Hours spent by Gianna = the hours spent by Claudia - 9% of the hours spent by Claudia
= x - 9% of x
= x - 0.09 x
= 0.91 x
Thus, the percentage by which Gianna spent more than Jodie
[tex]= \frac{\text{ Gianna's spending - Jodie's spending}}{\text{Gianna's spending}}\times 100[/tex]
[tex]= \frac{0.91x-0.75x}{0.91x}\times 100[/tex]
[tex]= \frac{0.16x}{0.91x}\times 100[/tex]
[tex]= \frac{0.16}{0.91}\times 100[/tex]
[tex]= \frac{16}{0.91}[/tex]
[tex]= 17.582417582\% = 17.5824\%[/tex]
