document.write( "Question 4869: four oranges and five apples cost $3.56. Three oranges and four apples cost $2.76. find the cost of an apple and the cost of an orange. \n" ); document.write( "
Algebra.Com's Answer #2367 by jainenderkapoor(61)![]() ![]() You can put this solution on YOUR website! Whenever this type of problem comes. Follow the simple steps mentioned below and get the answer.\r \n" ); document.write( "\n" ); document.write( "Define two variables x and y (x representing cost of orange and y representing cost of apple)\r \n" ); document.write( "\n" ); document.write( "Now if the cost of 1 orange is x, what is the cost of 2 oranges ?? \n" ); document.write( "YES it is 2x and COST of three oranges becomes 3x \r \n" ); document.write( "\n" ); document.write( "So we can write the following two equations ---\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 4 x + 5 y = 3.56 ----- (1) \n" ); document.write( " 3 x + 4 y = 2.76 ----- (2)\r \n" ); document.write( "\n" ); document.write( "Now our aim is to solve the two equations to get the value of x and y\r \n" ); document.write( "\n" ); document.write( "We can use the either of the methods graphical methoid/ elimination method/ or equating the coefficients method\r \n" ); document.write( "\n" ); document.write( "I am explaining the equating the coefficient method here.\r \n" ); document.write( "\n" ); document.write( "We will be multiplying the first equation by `3`, which is the coefficient of x in the second equation, AND multiplying the equation 2 by `4`, which is the coefficient of x in first equation.\r \n" ); document.write( "\n" ); document.write( " 4 x + 5 y = 3.56 ----- (1) X 3 \n" ); document.write( " 3 x + 4 y = 2.76 ----- (2) X 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We get 12 x + 15 y = 10.68 ----- (3) \n" ); document.write( " 12 x + 16 y = 11.04 ----- (4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On subtracting (3) from (4) we get \n" ); document.write( " 12 x + 16 y - 12 x - 15 y = 11.04 - 10.68 \n" ); document.write( " y = 0.36 \n" ); document.write( " \n" ); document.write( " Substituting the value of y in (1) or (2) we can get the value of x\r \n" ); document.write( "\n" ); document.write( "(1) -- 4 x + 5 (.36) = 3.56 \n" ); document.write( " 4 x + 1.8 = 3.56 \n" ); document.write( " 4 x = 3.56 - 1.8 = 1.76 \n" ); document.write( " x = 1.76/4 \n" ); document.write( " x = 0.44\r \n" ); document.write( "\n" ); document.write( "THIS IS HOW WE SOLVE THE QUESTION.\r \n" ); document.write( "\n" ); document.write( "HOPE IT IS CLEAR TO YOU. IF YOUR NEED MORE HELP, I AM AVAILABLE FOR ONLINE TUTORING ALSO. YOU CAN CONTACT ME ON kapoorjai1@rediffmail.com\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |