document.write( "Question 818773: A shopper paid $7.70 for 2 containers of milk and 3 containers of apple juice. It would have cost 60 cents more for 2 containers of apple juice and 3 containers of milk. How much would it cost to buy one container of each? \n" ); document.write( "
Algebra.Com's Answer #492768 by TimothyLamb(4379)\"\" \"About 
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2m + 3j = 770
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\n" ); document.write( "3m + 2j = 770 + 60
\n" ); document.write( "3m + 2j = 830
\n" ); document.write( "3m = 830 - 2j
\n" ); document.write( "m = (830/3) - (2/3)j
\n" ); document.write( "---
\n" ); document.write( "2m + 3j = 770
\n" ); document.write( "2((830/3) - (2/3)j) + 3j = 770
\n" ); document.write( "(1660/3) - (4/3)j + 3j = 770
\n" ); document.write( "(1660/3) - (4/3)j + (9/3)j = 770
\n" ); document.write( "(5/3)j = 770 - (1660/3)
\n" ); document.write( "(5/3)j = (2310/3) - (1660/3)
\n" ); document.write( "(5/3)j = (650/3)
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\n" ); document.write( "j = (650/3)(3/5)
\n" ); document.write( "j = (650/5)
\n" ); document.write( "j = (650/5)
\n" ); document.write( "j = 130
\n" ); document.write( "---
\n" ); document.write( "m = (830/3) - (2/3)j
\n" ); document.write( "m = (830/3) - (2/3)130
\n" ); document.write( "m = (830/3) - (260/3)
\n" ); document.write( "m = (570/3)
\n" ); document.write( "m = 190
\n" ); document.write( "---
\n" ); document.write( "recall that above we used cents (i.e. 770 cents = $7.70), so now we must convert back to dollars.
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\n" ); document.write( "answer:
\n" ); document.write( "milk = $1.90
\n" ); document.write( "juice = $1.30
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\n" ); document.write( "Solve and graph linear equations:
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\n" ); document.write( "Solve quadratic equations, quadratic formula:
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\n" ); document.write( "Convert fractions, decimals, and percents:
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