document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #724071 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = number of further consecutive heads leading to $\"%2270%25%22\"$ heads.
\n" ); document.write( "Once those $\"x\"$ further throws showing heads are done,
\n" ); document.write( "the total number of throws will be $\"200%2Bx\"$ :
\n" ); document.write( "the total number of heads will be $\"110%2Bx\"$ ,
\n" ); document.write( "and the ratio of heads to total throws will be
\n" ); document.write( " $\"%2270%25%22=70%2F100=0.7\"$ .
\n" ); document.write( "Then,
\n" ); document.write( " $\"%28110%2Bx%29%2F%28200%2Bx%29=0.7\"$
\n" ); document.write( " $\"110%2Bx=0.7%28200%2Bx%29\"$
\n" ); document.write( " $\"110%2Bx=140%2B0.7x\"$
\n" ); document.write( " $\"x-0.7x=140-110\"$
\n" ); document.write( " $\"0.3x=30\"$
\n" ); document.write( " $\"x=30%2F0.3\"$
\n" ); document.write( " $\"x=highlight%28100%29\"$
\n" ); document.write( " \n" ); document.write( "

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