document.write( "Question 10785: victor has a coin collection worth $2.90 that contains nickels, dimes and quaters. if there are 3 times as many dimes as nickels, and the number of quarters is 2 more than the number of nickels. how many nickels, dimes and quarters are there? \n" ); document.write( "

Algebra.Com's Answer #5668 by rapaljer(4671) $\"\"$ $\"About$

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Let x = number of nickels, since it is the last part at the end of the first phrase.
\n" ); document.write( "3x = number of dimes
\n" ); document.write( "x+2 = number of quarters\r
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\n" ); document.write( "\n" ); document.write( "Total value of the coins = value of each coin times the number of coins. You can work in dollars or cents. I recommend that you use cents, so change $2.90 to 290 cents.\r
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\n" ); document.write( "\n" ); document.write( "5(x) + 10(3x) + 25(x+2) = 290 cents
\n" ); document.write( "5x + 30x + 25x + 50 = 290
\n" ); document.write( "60x + 50 = 290
\n" ); document.write( "60x + 50-50 = 290-50
\n" ); document.write( "60x = 240
\n" ); document.write( "x= 4 Nickels
\n" ); document.write( "3x = 12 Dimes
\n" ); document.write( "x+2 = 6 Quarters\r
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\n" ); document.write( "\n" ); document.write( "Check: Find the values of all the coins.
\n" ); document.write( "x= 4 Nickels = $.20
\n" ); document.write( "3x = 12 Dimes 1.20
\n" ); document.write( "x+2 = 6 Quarters 1.50\r
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\n" ); document.write( "\n" ); document.write( "Total value = $2.90
\n" ); document.write( "It checks.\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC\r
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\n" ); document.write( "\n" ); document.write( "See my Lesson Plans on Word Problems for Basic Algebra!!!\r
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