document.write( "Question 1046396: Hi
\n" ); document.write( "anna had 3 times as many beads as zoe.they had 480 beads altogether. Mrs taylor gave an equal number of beads to each of them. Zoe then had half the number that anna had.how many beads did mrs taylor give them.\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #661874 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = number of beads that Anna
\n" ); document.write( "had originally
\n" ); document.write( "Let \"+b+\" = number of beads that Zoe
\n" ); document.write( "had originally
\n" ); document.write( "----------------------
\n" ); document.write( "(1) \"+a+=+3b+\"
\n" ); document.write( "(2) \"+a+%2B+b+=+480+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+3b+%2B+b+=+480+\"
\n" ); document.write( "\"+4b+=+480+\"
\n" ); document.write( "\"+b+=+120+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+3b+\"
\n" ); document.write( "(1) \"+a+=+3%2A120+\"
\n" ); document.write( "(1) \"+a+=+360+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Let \"+n+\" = the equal number of beads
\n" ); document.write( "that mrs Taylor then gave them
\n" ); document.write( "(3) \"+b+%2B+n+=+%281%2F2%29%2A%28++a+%2B+n+%29+\"
\n" ); document.write( "(3) \"+2b+%2B+2n+=+a+%2B+n+\"
\n" ); document.write( "(3) \"+n+=+a+-+2b+\"
\n" ); document.write( "(3) \"+n+=+360+-+2%2A120+\"
\n" ); document.write( "(3) \"+n+=+360+-+240+\"
\n" ); document.write( "(3) \"+n+=+120+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+b+%2Bn+=+120+%2B+120+=+240+\"
\n" ); document.write( "and
\n" ); document.write( "\"+a+%2B+n+=+360+%2B+120+=+480+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "Mrs Taylor gave Anna 480 beads
\n" ); document.write( "She gave Zoe 240 beads
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+b+%2B+n+=+%281%2F2%29%2A%28++a+%2B+n+%29+\"
\n" ); document.write( "(3) \"+120+%2B+120+=+%281%2F2%29%2A%28++360+%2B+120+%29+\"
\n" ); document.write( "(3) \"+240+=+%281%2F2%29%2A480+\"
\n" ); document.write( "(3) \"+480+=+480+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );