document.write( "Question 1170631: Solve by using substitution method or elimination method:
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document.write( "A bakery bakes three types of bread with the monthly cost being RM6850 for 2150 loaves of bread. The cost of baking a load of butterscotch bread is RM2, a chocolate bread is RM3 and a coconut bread RM4. The sale prices of a loaf of butterscotch bread, a chocolate bread and a coconut bread are RM3, RM4.50 and RM5.50 respectively. If the bakery makes a profit of RM2975 monthly, how many loaves of each type of bread will it bake? \n" );
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Algebra.Com's Answer #795509 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! Solve by using substitution method or elimination method: \n" ); document.write( "A bakery bakes three types of bread with the monthly cost being RM6850 for 2150 loaves of bread. The cost of baking a load of butterscotch bread is RM2, a chocolate bread is RM3 and a coconut bread RM4. The sale prices of a loaf of butterscotch bread, a chocolate bread and a coconut bread are RM3, RM4.50 and RM5.50 respectively. If the bakery makes a profit of RM2975 monthly, how many loaves of each type of bread will it bake? \n" ); document.write( " I don't see anywhere here where you asked for the problem to be solved using MATRICES, so I wonder why the other person would use that method.\r\n" ); document.write( "Plus, not everyone knows or may care to use matrices when solving equations. Then again, the person who responded is none other that Mr. EXTRAVAGANT and COMPLEX!\r\n" ); document.write( "You also don’t need any fancy equipment or software to solve this problem! \r\n" ); document.write( "\r\n" ); document.write( "Let number of butterscotch, chocolate, and coconut baked and sold, be B, C, and D, respectively\r\n" ); document.write( "Then the number-of-loaves equation is: B + C + D = 2,150 ------ eq (i)\r\n" ); document.write( "Also, the cost-equation is: 2B + 3C + 4D = 6,850 ------ eq (ii)\r\n" ); document.write( "And, the PROFIT equation is: 3B + 4.5C + 5.5D - (2B + 3C + 4D) = 2,975\r\n" ); document.write( "3B + 4.5C + 5.5D - 2B - 3C - 4D = 2,975\r\n" ); document.write( "B + 1.5C + 1.5D = 2,975 ------- eq (iii)\r\n" ); document.write( "2B + 3C + 3D = 5,950 ------- Multiplying eq (iii) by 2 ------- eq (iv)\r\n" ); document.write( "D = 900 ------ Subtracting eq (iv) from eq (ii)\r\n" ); document.write( "Number of coconut bread it'll bake, or\n" ); document.write( " |