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there are 2 shares.
\n" ); document.write( "we'll call them a and b.
\n" ); document.write( "a is the larger share and b is the smaller share.
\n" ); document.write( "the ratio of the larger share to the smaller share is 7:2.
\n" ); document.write( "that means that a/b = 7/2.
\n" ); document.write( "the sum of the shares must be equal to 42.8.
\n" ); document.write( "that means that a + b = 42.8
\n" ); document.write( "we can solve for a in terms of b or b in terms of a.
\n" ); document.write( "we'll solve for b in terms of a.
\n" ); document.write( "we'll use a/b = 7/2.
\n" ); document.write( "cross multiply to get 2a = 7b
\n" ); document.write( "divide both sides of the equation by 7 to solve for b to get b = 2a/7.
\n" ); document.write( "now we go to the other equation of a + b = 42.8 and replace b with 2a/7 to get:
\n" ); document.write( "a + 2a/7 = 42.8
\n" ); document.write( "multiply both sides of this equation by 7 to get 7a + 2a = 42.8 * 7
\n" ); document.write( "combine like terms and simplify to get 9a = 299.6
\n" ); document.write( "divide both sidees of this equation by 9 to get a = 33.288888889
\n" ); document.write( "b = 42.8 minus this to get b = 9.511111111
\n" ); document.write( "a + b = 33.2888... + 9.5111... = 42.8 which is true.
\n" ); document.write( "a/b = 33.2888... / 9.5111... = 7/2 which is also true.
\n" ); document.write( "those number look good.
\n" ); document.write( "the larger share is equal to 33.29 rounded to 2 decimal places.
\n" ); document.write( "the smaller share is equal to 9.51 rounded to 2 decimal places.\r
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