document.write( "Question 514458: Let the cost of a meal for an adult be $x and the cost of a meal for a child be $y. The cost of a meal for 3 adults and 2 children amounts to $125. The cost of a meal for 2 adults and 3 children amounts to $115.
\n" ); document.write( "(i) Write down two equations in x and y to represent this information.
\n" ); document.write( "(ii) Solve these equations to find the cost of an adult's meal and the cost of a child's meal. \n" ); document.write( "
Algebra.Com's Answer #343444 by stanbon(75887)\"\" \"About 
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Let the cost of a meal for an adult be $x and the cost of a meal for a child be $y. The cost of a meal for 3 adults and 2 children amounts to $125. The cost of a meal for 2 adults and 3 children amounts to $115.
\n" ); document.write( "(i) Write down two equations in x and y to represent this information.
\n" ); document.write( "3x + 2y = 125
\n" ); document.write( "2x + 3y = 115
\n" ); document.write( "--------------
\n" ); document.write( "(ii) Solve these equations to find the cost of an adult's meal and the cost of a child's meal.
\n" ); document.write( "Modify:
\n" ); document.write( "6x + 4y = 250
\n" ); document.write( "6x + 9y = 345
\n" ); document.write( "--------------
\n" ); document.write( "5y = 95
\n" ); document.write( "y = $19 (cost of a child's meal)
\n" ); document.write( "----
\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "2x + 3y = 115
\n" ); document.write( "2x + 57 = 115
\n" ); document.write( "2x = 58
\n" ); document.write( "x = $29 (cost of an adult's meal)
\n" ); document.write( "===================================\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );