SOLUTION: After 200 throws, a coin has shown head exactly 110 times. By forming an equation and solving it, find how many further consecutive times must a head be thrown for heads to show ex

Algebra ->  Equations -> SOLUTION: After 200 throws, a coin has shown head exactly 110 times. By forming an equation and solving it, find how many further consecutive times must a head be thrown for heads to show ex      Log On


   

Question 1109046: After 200 throws, a coin has shown head exactly 110 times. By forming an equation and solving it, find how many further consecutive times must a head be thrown for heads to show exactly 70% of the total number of throws.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= number of further consecutive heads leading to %2270%25%22 heads.
Once those x further throws showing heads are done,
the total number of throws will be 200%2Bx :
the total number of heads will be 110%2Bx ,
and the ratio of heads to total throws will be
%2270%25%22=70%2F100=0.7 .
Then,
%28110%2Bx%29%2F%28200%2Bx%29=0.7
110%2Bx=0.7%28200%2Bx%29
110%2Bx=140%2B0.7x
x-0.7x=140-110
0.3x=30
x=30%2F0.3
x=highlight%28100%29