Answer:
Ratio is 100:1
Explanation:
From hydraulic press formulas;
(F1/A1) = (F2/A2)
Applying this to the question, we can say that Force on slave cylinder (Fs) = F1 while Force on master cylinder (Fm) = F2 and their respective Areas as As and Am.
Now plugging it into the equation to obtain;
Fs/As = Fm/Am
Now, the question says the hydraulic system is designed to exert a force 100 times as big as the one put into it, thus;
Fs = 100 Fm
And so from the equation earlier, rearranging, we have,
Fs/Fm = As/Am. So, 100Fm/Fm = As/Am
So, Fm will cancel out and we have ;
As/Am = 100/1
Thus, the ratio of the area of the slave cylinder to the master cylinder is 100:1
