document.write( "Question 93380: john bought 100 animals for $100. He bought more than 70 baby chicks. 8 @ 1$. a certain amount of goats that are $10 each and a certain amount of ducks that are $1 each.......how many of each animal did he buy??
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Algebra.Com's Answer #68001 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! John bought 100 animals for $100. He bought more than 70 baby chicks. 8 @ 1$. a certain amount of goats that are $10 each and a certain amount of ducks that are $1 each.......how many of each animal did he buy?? \n" ); document.write( ": \n" ); document.write( "Since the cost of the ducks and goat are even dollars, the total of the chicks \n" ); document.write( "has to be even dollars also \n" ); document.write( ": \n" ); document.write( "70 chicks @ 8 for a dollar: 70/8 = $8.75 for the 70 chicks, or .125 apiece, \n" ); document.write( "add two more, to make it an even dollar amt: 72/8 = $9 for chicks \n" ); document.write( ": \n" ); document.write( "That makes our equations to be: \n" ); document.write( "72 + d + g = 100; no. of animals \n" ); document.write( "d + g = 100 - 72 \n" ); document.write( "d + g = 28 \n" ); document.write( "and \n" ); document.write( "9 + d + 10g = 100; cost of animals \n" ); document.write( "d + 10g = 100 - 9 \n" ); document.write( "d + 10g = 91 \n" ); document.write( ": \n" ); document.write( "Use the two above equations and subtract: \n" ); document.write( "d + 10g = 91 \n" ); document.write( "d + g = 28 \n" ); document.write( "----------------subtracting eliminates d \n" ); document.write( "9g = 63 \n" ); document.write( "g = 63/9 \n" ); document.write( "g = 7 goats \n" ); document.write( ": \n" ); document.write( "Find d using d + g = 28 \n" ); document.write( "d + 7 = 28 \n" ); document.write( "d = 28 -7 \n" ); document.write( "d = 21 ducks \n" ); document.write( ": \n" ); document.write( "We have 72 chicks, 21 ducks and 7 goats, adds up to 100 animals \n" ); document.write( ": \n" ); document.write( "Check using the $amt equation: \n" ); document.write( "9 + 21 + 7(10) = $100 \n" ); document.write( ": \n" ); document.write( "Did this make sense? \n" ); document.write( " \n" ); document.write( " |