document.write( "Question 1160938: A housewife purchases 5 liters of milk, 3 loaves of bread and 6 cans of tuna. She gives the cashier R200 and receives R54 change.\r
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document.write( "How much did all the items cost?\r
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document.write( "If a liter of milk costs R5 more than a can of tuna and a loaf of bread costs R2 less than a liter of milk, determine the cost of each item? \n" );
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Algebra.Com's Answer #784364 by saw(34)![]() ![]() ![]() You can put this solution on YOUR website! Let m = a liter of milk \n" ); document.write( "Let b = a loaf of bread \n" ); document.write( "Let t = a can of tuna \n" ); document.write( "5m+3b+6t = R200-R54 = R146 \n" ); document.write( "If a liter of milk costs R5 more than a can of tuna \n" ); document.write( "m = t+5 \n" ); document.write( "If a loaf of bread costs R2 less than a liter of milk \n" ); document.write( "b = m-2 \n" ); document.write( "5m+3b+6t = 146 \n" ); document.write( "5(t+5)+3(m-2)+6t = 146 \n" ); document.write( "5t+25+3m-6+6t = 146 \n" ); document.write( "11t+3(t+5)+19 = 146 \n" ); document.write( "11t+3t+15+19 = 146 \n" ); document.write( "14t+34 = 146 \n" ); document.write( "14t = 112 \n" ); document.write( "t = 8 \n" ); document.write( "m = 13 \n" ); document.write( "b = 11 \n" ); document.write( "A liter of milk costs R13 and 5 liters of milk costs R65. \n" ); document.write( "A loaf of bread costs R11 and 3 loaves of bread costs R33. \n" ); document.write( "A can of tuna costs R8 and 6 cans of tuna costs R48. \n" ); document.write( "Check----- \n" ); document.write( "5m+3b+6t = R146\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |