document.write( "Question 1148685: if a:b = 3:2, then find the value of (2a+3b):(2a+5b). \n" ); document.write( "

Algebra.Com's Answer #770033 by Theo(13342) $\"\"$ $\"About$

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a:b can also be written as a/b.
\n" ); document.write( "therefore a:b = 3:2 can be written as a/b = 3/2
\n" ); document.write( "solve for a to get a = 3b/2
\n" ); document.write( "multiply both sides of this equation by 2 to get:
\n" ); document.write( "2a = 3b
\n" ); document.write( "in the ratio of (2a+3b)/(2a+5b), replace 2a with 3b to get:
\n" ); document.write( "(3b+3b)/(3b+5b) = 6b/8b = 6/8 = 3/4
\n" ); document.write( "that's the value of (2a+3b)/(2a+5b)
\n" ); document.write( "that's your solution.
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