document.write( "Question 1190214: . The cost of four chairs and a small table is $648. The cost of six chairs and a large table is $1 196.
\n" ); document.write( "The cost of the large table is Twice the cost of the small table. Given that a is the cost, in dollars, of a
\n" ); document.write( "chair and b is the cost, in dollars, of a small table
\n" ); document.write( "(i) write a pair of simultaneous equations to represent the information given. (2mks)
\n" ); document.write( "(ii)calculate the cost of a chair and the cost of a large table. \n" ); document.write( "

Algebra.Com's Answer #821843 by MathTherapy(10555) $\"\"$ $\"About$

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\n" ); document.write( ". The cost of four chairs and a small table is $648. The cost of six chairs and a large table is $1 196.
\n" ); document.write( "The cost of the large table is Twice the cost of the small table. Given that a is the cost, in dollars, of a
\n" ); document.write( "chair and b is the cost, in dollars, of a small table
\n" ); document.write( "(i) write a pair of simultaneous equations to represent the information given. (2mks)
\n" ); document.write( "(ii)calculate the cost of a chair and the cost of a large table.
\n" ); document.write( "

With \"a\" and \"b\" being the cost of a chair and a small table, respectively, the cost of a large table = 2b\r\n" );
document.write( "We then get: 4a + b = 648 ------ eq (i)\r\n" );
document.write( "Also, 6a + 2b = 1,196____2(3a + b) = 2(598)___3a + b = 598 ----- eq (ii)\r\n" );
document.write( "Cost of a chair, or  ----- Subtracting eq (ii) from (i)\r\n" );
document.write( "\r\n" );
document.write( "6(50) + 2b = 1,196 ------ Substituting 50 for a in eq (ii)\r\n" );
document.write( "Cost of a large table, or 2b = 1,196 - 6(50) = 1,196 - 300 = $896

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