document.write( "Question 1078361: Box A has 128 apples more than Box B.
\n" ); document.write( "Marcus moved 25% of the apples from Box A to Box B.
\n" ); document.write( "Then, he moved 1/8 of the apples in Box B to an empty Box C.
\n" ); document.write( "In the end, Box C had 149 apples less than the remaining apples in Box A.
\n" ); document.write( "A. Find the number of apples in Box C
\n" ); document.write( "B. Find the number of apples in Box A at first.
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Algebra.Com's Answer #692853 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"a\", \"b\", and \"c+\" = the
\n" ); document.write( "number of apples in the respective boxes
\n" ); document.write( "at the 1st step
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\n" ); document.write( "step 1
\n" ); document.write( "A has \"+a+=+b+%2B+128+\"
\n" ); document.write( "B has \"+b+\"
\n" ); document.write( "C has \"+c+=+0+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "step 2
\n" ); document.write( "A has \"+a+-+.25a+=+.75a+\"
\n" ); document.write( "\"+.75a+=+.75%2A%28+b+%2B+128+%29+\"
\n" ); document.write( "B has \"+b+%2B+.25%2A%28+b+%2B+128+%29+\"
\n" ); document.write( "\"+1.25b+%2B+32+\"
\n" ); document.write( "C has \"+c+=+0+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "step 3
\n" ); document.write( "A has \"+.75a+=+.75%2A%28+b+%2B+128+%29+\"
\n" ); document.write( "B has \"+%287%2F8+%29%2A%28+1.25b+%2B+32+%29+\"
\n" ); document.write( "C has \"+%281%2F8%29%2A%28+1.25b+%2B+32+%29+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "After this step,
\n" ); document.write( "\"+%281%2F8%29%2A%28+1.25b+%2B+32+%29+=+%283%2F4%29%2A%28+b+%2B+128+%29+-149+\"
\n" ); document.write( "Multiply both sides by \"+8+\"
\n" ); document.write( "\"+1.25b+%2B+32+=+6%2A%28+b+%2B+128+%29+-+1192+\"
\n" ); document.write( "\"+1.25b+%2B+32+=+6b+%2B+768+-+1192+\"
\n" ); document.write( "\"+4.75b+=+1192+%2B+32+-+768+\"
\n" ); document.write( "\"+4.75b+=+456+\"
\n" ); document.write( "\"+b+=+96+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "A.
\n" ); document.write( "The number of apples in box C is
\n" ); document.write( "C has \"+%281%2F8%29%2A%28+1.25b+%2B+32+%29+\"
\n" ); document.write( "\"+%281%2F8%29%2A%28+1.25%2A96+%2B+32+%29+\"
\n" ); document.write( "\"+%281%2F8%29%2A%28+120+%2B+32+%29+\"
\n" ); document.write( "\"+%281%2F8%29%2A152+=+19+\"
\n" ); document.write( "C has 19 apples at the end
\n" ); document.write( "------------------------------
\n" ); document.write( "B.
\n" ); document.write( "Find \"a\", the original number of apples in box A
\n" ); document.write( "step 3
\n" ); document.write( "A has \"+.75a+=+.75%2A%28+b+%2B+128+%29+\"
\n" ); document.write( "\"+.75a+=+.75%2A%28+96+%2B+128+%29+\"
\n" ); document.write( "\"+.75a+=+.75%2A224+\"
\n" ); document.write( "\"+a+=+224+\"
\n" ); document.write( "There were 224 apples in box A to start with
\n" ); document.write( "===================================
\n" ); document.write( "check the answers:
\n" ); document.write( "1st step:
\n" ); document.write( "\"+a+=+b+%2B+128+\"
\n" ); document.write( "\"+a+=+96+%2B+128+\"
\n" ); document.write( "\"+a+=+224+\"
\n" ); document.write( "\"+b+=+96+\"
\n" ); document.write( "\"+c+=+0+\"
\n" ); document.write( "--------------------
\n" ); document.write( "2nd step:
\n" ); document.write( "\"+.75a+=+.75%2A224+\"
\n" ); document.write( "\"+.75a+=+168+\"
\n" ); document.write( "and
\n" ); document.write( "\"+1.25b+=+1.25%2A96+\"
\n" ); document.write( "\"+1.25b+=+120+\"
\n" ); document.write( "and
\n" ); document.write( "\"+c+=+0+\"
\n" ); document.write( "---------------------
\n" ); document.write( "3rd step:
\n" ); document.write( "A has:
\n" ); document.write( "\"+.75a+=+168+\"
\n" ); document.write( "and
\n" ); document.write( "B has:
\n" ); document.write( "\"+%287%2F8+%29%2A%28+1.25b+%2B+32+%29+\"
\n" ); document.write( "\"+%287%2F8+%29%2A%28+1.25%2A96+%2B+32+%29+\"
\n" ); document.write( "\"+%287%2F8%29%2A%28+120+%2B+32+%29+\"
\n" ); document.write( "\"+%287%2F8%29%2A152+=+133+\"
\n" ); document.write( "and
\n" ); document.write( "C has:
\n" ); document.write( "\"+%281%2F8%29%2A%28+1.25b+%2B+32+%29+\"
\n" ); document.write( "\"+%281%2F8%29%2A%28+1.25%2A96+%2B+32+%29+\"
\n" ); document.write( "\"+%281%2F8%29%2A152+=+19+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "The totals must be the same at
\n" ); document.write( "start and finish
\n" ); document.write( "\"+a+=+224+\"
\n" ); document.write( "\"+b+=+96+\"
\n" ); document.write( "\"+c+=+0+\"
\n" ); document.write( "Total = 320
\n" ); document.write( "-----------------
\n" ); document.write( "After step C:
\n" ); document.write( "\"+a+=+168+\"
\n" ); document.write( "\"+b+=+133+\"
\n" ); document.write( "\"+c+=+19+\"
\n" ); document.write( "Total = 320
\n" ); document.write( "OK\r
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