document.write( "Question 1022540: Erin and Sam are selling fruit far a school fundraiser. Customers can buy boxes of tangerines and boxes of pears. Erin sold 13 boxes of tangerines and 14 boxes of pears for a total of $276. Sam sold 14 boxes of tangerines and 2 boxes of pears for a total of $88. What is the cost each of the one box of tangerines and one box of pears? Show your work. \n" ); document.write( "

Algebra.Com's Answer #638240 by addingup(3677) $\"\"$ $\"About$

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13t+14p = 276 (1)
\n" ); document.write( "14t+2p = 88 (2)
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\n" ); document.write( "Multiply equation (2) times 7 and subtract from (1):
\n" ); document.write( "13t+14p = 276
\n" ); document.write( "-
\n" ); document.write( "98t+14p = 616
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\n" ); document.write( "-85t = -340
\n" ); document.write( "Divide both sides by -85 and remember -/- = +
\n" ); document.write( "t = 4 The tangerines are $4 and the pears:
\n" ); document.write( "14(4)+2p = 88
\n" ); document.write( "56+2p = 88
\n" ); document.write( "2p = 32
\n" ); document.write( "p = 16 Pears are $16
\n" ); document.write( "Let's try our answers in the other equation to make sure we have the correct answer:
\n" ); document.write( "13(4)+14(16) = 276
\n" ); document.write( "52+224 = 276 Add on left to see that we hare the correct answers. \n" ); document.write( "

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