document.write( "Question 818773: A shopper paid $7.70 for 2 containers of milk and 3 containers of apple juice. It would have cost 60 cents more for 2 containers of apple juice and 3 containers of milk. How much would it cost to buy one container of each? \n" ); document.write( "
Algebra.Com's Answer #492768 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! 2m + 3j = 770 \n" ); document.write( "--- \n" ); document.write( "3m + 2j = 770 + 60 \n" ); document.write( "3m + 2j = 830 \n" ); document.write( "3m = 830 - 2j \n" ); document.write( "m = (830/3) - (2/3)j \n" ); document.write( "--- \n" ); document.write( "2m + 3j = 770 \n" ); document.write( "2((830/3) - (2/3)j) + 3j = 770 \n" ); document.write( "(1660/3) - (4/3)j + 3j = 770 \n" ); document.write( "(1660/3) - (4/3)j + (9/3)j = 770 \n" ); document.write( "(5/3)j = 770 - (1660/3) \n" ); document.write( "(5/3)j = (2310/3) - (1660/3) \n" ); document.write( "(5/3)j = (650/3) \n" ); document.write( "--- \n" ); document.write( "j = (650/3)(3/5) \n" ); document.write( "j = (650/5) \n" ); document.write( "j = (650/5) \n" ); document.write( "j = 130 \n" ); document.write( "--- \n" ); document.write( "m = (830/3) - (2/3)j \n" ); document.write( "m = (830/3) - (2/3)130 \n" ); document.write( "m = (830/3) - (260/3) \n" ); document.write( "m = (570/3) \n" ); document.write( "m = 190 \n" ); document.write( "--- \n" ); document.write( "recall that above we used cents (i.e. 770 cents = $7.70), so now we must convert back to dollars. \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "milk = $1.90 \n" ); document.write( "juice = $1.30 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |