document.write( "Question 1127430: At one store, 5 pairs of jeans and 2 sweatshirts costs $213, while 3 pairs of jeans and 4 sweatshirts costs $195. Find the cost of one sweatshirt. \r
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document.write( "A. $21
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document.write( "B. $35
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document.write( "C. $33
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document.write( "D. $24 \n" );
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Algebra.Com's Answer #743838 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! J = price of one pair of jeans \n" ); document.write( "S = price of a sweatshirt \r \n" ); document.write( "\n" ); document.write( "(1) 5J+2S = 213 \n" ); document.write( "(2) 3J +4S = 195\r \n" ); document.write( "\n" ); document.write( "(1') 10J+4S = 426 (multiplied eq(1) by 2) \n" ); document.write( "-(2) 3J +4S = 195 \n" ); document.write( " —————————— \n" ); document.write( " 7J = 231 \n" ); document.write( " J = 231/7 = 33\r \n" ); document.write( "\n" ); document.write( "Plug this into (1) and solve for S (one way to do it): \n" ); document.write( "S = (213 - 5J)/2 = (213 - 5*33)/2 = 24\r \n" ); document.write( "\n" ); document.write( "— \n" ); document.write( "Ans: One sweatshirt costs $24 \n" ); document.write( "—\r \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( " 5*33+2*24 = 165+48 = 213 \n" ); document.write( " 3*33+4*24 = 99+96 = 195\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |