document.write( "Question 370033: A. Perfume is sold in 10mL and 25mL bottles. If a chemist orders 600mL of perfume and receives 33 bottles, how many of each did he receive?\r
\n" ); document.write( "\n" ); document.write( "B. A boat travels 120km upstream against the current in 5 hours, but makes the return trip in only four hours. Find the speed of the current and the speed of the boat in still water.\r
\n" ); document.write( "\n" ); document.write( "Please help, Ive tried all different ways for both questions, but I must be using the wrong information.
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Algebra.Com's Answer #263821 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let A be the number of 10ml bottle, B the number of 25mL bottles.
\n" ); document.write( "1.\"A%2BB=33\"
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\n" ); document.write( "\"10A%2B25B=600\"
\n" ); document.write( "2.\"2A%2B5B=120\"
\n" ); document.write( "Multiply eq. 1 by (-2) and add to eq. 2,
\n" ); document.write( "\"-2A-2B%2B2A%2B5B=-66%2B120\"
\n" ); document.write( "\"3B=54\"
\n" ); document.write( "\"highlight%28B=18%29\"
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( "\"A%2B18=33\"
\n" ); document.write( "\"highlight%28A=15%29\"
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\n" ); document.write( "Let B be the boat speed, C the river current.
\n" ); document.write( "Rate*Time=Distance.
\n" ); document.write( "With the current,
\n" ); document.write( "\"%28B%2BC%294=120\"
\n" ); document.write( "1.\"B%2BC=30\"
\n" ); document.write( "Against the current,
\n" ); document.write( "\"%28B-C%295=120\"
\n" ); document.write( "2.\"B-C=24\"
\n" ); document.write( "Add eq. 1 to eq. 2,
\n" ); document.write( "\"B%2BC%2BB-C=30%2B24\"
\n" ); document.write( "\"2B=54\"
\n" ); document.write( "\"highlight%28B=27%29\"kph
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"27%2BC=30\"
\n" ); document.write( "\"highlight%28C=3%29\"kph
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