document.write( "Question 803759: Good Evening, I'm struggling with this word problem. Can someone Please help?\r
\n" ); document.write( "\n" ); document.write( "A moneybox contains only 20-cent coins and 50-cent coins. If there are 57 coins in the moneybox and their total value is $24.30, how many 20-cent coins and how many 50-cent coins are there? \n" ); document.write( "
Algebra.Com's Answer #484490 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
we have two equations
\n" ); document.write( "x +y = 57
\n" ); document.write( ".20x + .50y = 24.30
\n" ); document.write( "solve first equation for x, then substitute for x in second equation
\n" ); document.write( "x = 57 -y
\n" ); document.write( ".20*(57-y) + .50y = 24.30
\n" ); document.write( "11.40 -.20y + .50y = 24.30
\n" ); document.write( ".30y + 11.40 = 24.30
\n" ); document.write( "subtract 11.40 from both sides of =
\n" ); document.write( ".30y = 12.90
\n" ); document.write( "y = 43
\n" ); document.write( "substitute in first equation
\n" ); document.write( "x +43 = 57
\n" ); document.write( "x = 14
\n" ); document.write( "substitute for x and y in second equation
\n" ); document.write( ".20*14 +.50*43 = 24.30
\n" ); document.write( "2.80 + 21.50 = 24.30
\n" ); document.write( "24.30 = 24.30
\n" ); document.write( "our answers check
\n" ); document.write( "there are 14 ( 20 cent coins ) and 43 ( 50 cent coins )\r
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