document.write( "Question 1431: Red Beads cost $1.30 per box, they are mixed with yellow beads that cost $2.00 a box. How many boxes of each color must be used to make 10 boxes of beads costing $1.72 per box? \n" ); document.write( "

Algebra.Com's Answer #466 by DeepaEvangeline(15) $\"\"$ $\"About$

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Cost of red bead box = $1.30
\n" ); document.write( "Cost of yellow bead box = $2.00\r
\n" ); document.write( "\n" ); document.write( "Let number of red beads boxes be x
\n" ); document.write( "Let number of yellow beads boxes be y\r
\n" ); document.write( "\n" ); document.write( "Total number of boxes = 10
\n" ); document.write( "Cost of each box = $1.72
\n" ); document.write( "Cost of 10 boxes = 1.72 x 10 = $17.2\r
\n" ); document.write( "\n" ); document.write( "The equations are
\n" ); document.write( "x + y = 10 -----------------(1)
\n" ); document.write( "1.3x + 2y = 17.2 -----------(2)\r
\n" ); document.write( "\n" ); document.write( "Solving the equations (1) and (2) gives\r
\n" ); document.write( "\n" ); document.write( "Multiply eqn (1) by 2\r
\n" ); document.write( "\n" ); document.write( "2x + 2y = 20 ---------------(3)\r
\n" ); document.write( "\n" ); document.write( "Eqn (3) - (1) gives\r
\n" ); document.write( "\n" ); document.write( "2x - 1.3x + 2y - 2y = 20 - 17.2
\n" ); document.write( ".7x = 2.8
\n" ); document.write( "x = 2.8/.7 = 4\r
\n" ); document.write( "\n" ); document.write( "Therefore x + y = 10
\n" ); document.write( "4 + y = 10
\n" ); document.write( "y = 10 - 4 = 6\r
\n" ); document.write( "\n" ); document.write( "Number of red beads boxes is 4
\n" ); document.write( "and number of yellow beads boxes is 6 \n" ); document.write( "

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