document.write( "Question 818563: belle and cally shared some buttons in the ratio 3:7. cally gave some buttons to belle such that they had an equal number of buttons in the end. if cally gave belle 16 buttons, how many buttons did belle have at the start? \n" ); document.write( "
Algebra.Com's Answer #492749 by ankor@dixie-net.com(22740)\"\" \"About 
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belle and cally shared some buttons in the ratio 3:7.
\n" ); document.write( " cally gave some buttons to belle such that they had an equal number of buttons in the end.
\n" ); document.write( "if cally gave belle 16 buttons, how many buttons did belle have at the start?
\n" ); document.write( ":
\n" ); document.write( "Let x = \"the multiplier\"
\n" ); document.write( "then
\n" ); document.write( "3x = b's original number of buttons
\n" ); document.write( "and
\n" ); document.write( "7x = c's buttons
\n" ); document.write( ":
\n" ); document.write( "7x - 16 = 3x + 16
\n" ); document.write( "7x - 3x = 16 + 16
\n" ); document.write( "4x = 32
\n" ); document.write( "x = 32/4
\n" ); document.write( "x = 8 is the multiplier, therefore
\n" ); document.write( "8(3) = 24 buttons for b
\n" ); document.write( "and
\n" ); document.write( "8(7) = 56 buttons for c
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