document.write( "Question 1010495: Five shirts and three pair of stacks cost $172. Three of the same shirts and four pair of the same stacks cost $156. How much does each shirt cost? How much does each pair of stacks cost? \n" ); document.write( "
Algebra.Com's Answer #625949 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the prices of shirts and slacks, x and y. Then we have \n" ); document.write( "5x + 3y = 172 and \n" ); document.write( "3x + 4y = 156 \n" ); document.write( "Let's multiply the top by 3 and the bottom by 5 and subtract them, giving us \n" ); document.write( "15x + 9y = 516 \n" ); document.write( "-(15x + 20y = 780) \n" ); document.write( "------------------ \n" ); document.write( "-11y = - 264 \n" ); document.write( "y = $24 for slacks, then \n" ); document.write( "5x + 3(24) = 172 \n" ); document.write( "5x + 72 = 172 \n" ); document.write( "5x = 100 \n" ); document.write( "x = $20 for shirts \n" ); document.write( " |