Suppose that a photocopy machine can reduce copies to 70 percent of their original size. By copying an already reduced copy, further reductions can be made.

1. If a page is reduced to 70 percent, what percent enlargement is needed to return it to its original size?
enlargement = ________________percent?

2. Estimate the number of times in succession that a page must be copied to make the final copy less than 5 percent of the size of the original.
number of times =________________?

Please, help would be greatly appreciated

Question

Suppose that a photocopy machine can reduce copies to 70 percent of their original size. By copying an already reduced copy, further reductions can be made.

1. If a page is reduced to 70 percent, what percent enlargement is needed to return it to its original size? 
enlargement = ________________percent?

2. Estimate the number of times in succession that a page must be copied to make the final copy less than 5 percent of the size of the original. 
number of times =________________? 

Please, help would be greatly appreciated

anonymous · Answer

first one solve $.70x=1$ for $x$

anonymous · Answer

solve via $x=1\div.70$ and then write as a percent.  second one is a little harder

anonymous · Answer

thanks

anonymous · Answer

second one you do by computing $.7,.7^2,.7^3,...$ until you get a number around .05