document.write( "Question 1113729: Jessica spent $195 on 3 chairs & 5 pots of flowers
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document.write( "Alondra spent $246 on 6 chairs & 2 pots of flowers
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document.write( "Marisol bought 8 chairs & 12 pots of flowers\r
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document.write( "How much should Marisol expect to pay? \n" );
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Algebra.Com's Answer #728807 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Let the chairs be C and the pots P (you can make them x and y if you want): \n" ); document.write( "3C + 5P = 195 (1) \n" ); document.write( "6C + 2P = 246 (2) \n" ); document.write( "Multiply (1) times 2 to make equation (3) \n" ); document.write( "Multiply (2) times -1 and add to equation (3) \n" ); document.write( "-------------------------------------- \n" ); document.write( "6C + 10P = 390 \n" ); document.write( "+ \n" ); document.write( "-6C - 2P = -246 \n" ); document.write( "--------------------- \n" ); document.write( "0C + 8P = 144 \n" ); document.write( "8P = 144 \n" ); document.write( "P = 18 The pots were $18 each \n" ); document.write( "Now let's find the price of the chairs, let's use equation (2): \n" ); document.write( "6C + 2P = 246 \n" ); document.write( "6C + 2(18) = 246 \n" ); document.write( "6C + 36 = 246 \n" ); document.write( "6C = 210 \n" ); document.write( "C = 35 Each chair cost $35 \n" ); document.write( "--------------------------------------------- \n" ); document.write( "Since we used equation (2) to find out the price of the chairs, let's now use equation (1) to make sure we have the correct ansswers: \n" ); document.write( "3C + 5P = 195 \n" ); document.write( "3(35) + 5(18) = 195 \n" ); document.write( "105 + 90 = 195 Correct \n" ); document.write( "--------------------------------- \n" ); document.write( "How much should Marisol expect to pay? \n" ); document.write( "8C + 12P = 8(35) + 12(18) = 280 + 216 = 496 \n" ); document.write( "Marisol should expect to pay $496 \n" ); document.write( " \n" ); document.write( " |