document.write( "Question 1182018: Mia must buy some chocolates, roses, and ballons to sell. She has $3000 to spend on $25 cchocolates, $35 roses, and $25 ballons. She also wants to buy 100 items in total. She also wants the combined number of chocolates and balloons to be equal to that of roses. How many of each item should she buy? \n" ); document.write( "
Algebra.Com's Answer #811997 by ikleyn(52848)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "@josgarithmetic derived a system of 3 equation in 3 unknowns.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "@greenestamps showed you that the problem does not admit a unique solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You may ask yourself --- how it may happen that the system of 3 equations in 3 unknowns has no a unique solution ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer is: BECAUSE this system of equation is DEGENERATED : its determinant is equal to zero.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is really rare (but still possible) case in word problems, when the system of three equations in three unknown \r \n" ); document.write( "\n" ); document.write( "does not provide a unique solution ( ! )\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |