document.write( "Question 1133759: Jacob made two trips to the store. On his first trip to the store, he bought x kitchen towels for $3 each and y dishcloths for $2 each and spent a total of $32. On his second trip to the store, he bought x kitchen towels for $5 each and returned the y dishcloths he bought on the first trip. He was refunded the money for the dishcloths and still spent $32. The system of equations shown below represents the amounts, in dollars, he spent on the two trips to the store.\r
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document.write( "How many kitchen towels and dishcloths did Jacob buy on his first trip to the store? \n" );
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Algebra.Com's Answer #751003 by Theo(13342)![]() ![]() You can put this solution on YOUR website! first equation is 3x + 2y = 32 \n" ); document.write( "second equation is 5x - 2y = 32 \n" ); document.write( "add the two equations together to get 8x = 64 \n" ); document.write( "solve for x to get x = 64 / 8 = 8 \n" ); document.write( "replace x with 8 in the first equation to get 24 + 2y = 32 \n" ); document.write( "solve for y to get y = 8/2 = 4 \n" ); document.write( "you have x = 8 and y = 2 \n" ); document.write( "first equation becomes 24 + 8 = 32 \n" ); document.write( "second equation becomes 40 - 8 = 32 \n" ); document.write( "solution checks out ok. \n" ); document.write( "solution is x = 8 and y = 2 which means he bought 8 kitchen towels and 2 dishcloths on his first trip. \n" ); document.write( " |