document.write( "Question 60655: I am having trouble setting these kinds of problems up please show me.
\n" ); document.write( "Sally bought three suckers and a bubble gum for $1.75 Jack bought two suckersand four bubble gums for $2.00 what is the cost of each sucker and bubble gum? THANK YOU IF YOU CAN EXLPAIN THIS WHERE ICAN UNDERSTAND IT. \n" ); document.write( "
Algebra.Com's Answer #41622 by uma(370)\"\" \"About 
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Let the cost of 1 sucker be $x
\n" ); document.write( "Let the cost of 1 bubblegum be $y\r
\n" ); document.write( "\n" ); document.write( "Cost of 3 suckers and 1 bubblegum = $1.75
\n" ); document.write( "==> 3x + 1y = 1.75 ------------------(1)
\n" ); document.write( "Cost of 2 suckers and 4 bubblegums = $2
\n" ); document.write( "==> 2x + 4y = 2 -----------------(2)
\n" ); document.write( " 12x + 4y = 7 [(1) multiplied by 4]\r
\n" ); document.write( "\n" ); document.write( "Subtracting the above two equations we have,
\n" ); document.write( " - 10x = -5
\n" ); document.write( "==> -10x/-10 = -5/-10
\n" ); document.write( "==> x = 1/2
\n" ); document.write( "Plugging in this in (2) we get..
\n" ); document.write( "2(1/2) + 4y = 2
\n" ); document.write( "==> 1 + 4y = 2
\n" ); document.write( "==> 4y = 2 - 1 (subtracting 1 from either side)
\n" ); document.write( "==> 4y = 1
\n" ); document.write( "==> 4y/4 = 1/4
\n" ); document.write( "==> y = 1/4\r
\n" ); document.write( "\n" ); document.write( "Thus the cost of a sucker = 1/2 or $0.5 and the cost of a bubblegum = 1/4 or $0.25\r
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\n" ); document.write( "\n" ); document.write( "Good Luck!!!
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