document.write( "Question 344196: If you spend $100 on 100animals (8hens=$1, 1sheep=$1 and cows cost $10) and you must buy one of each, how many of each do you buy? \n" ); document.write( "
Algebra.Com's Answer #246268 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! You can't buy 100 cows, because 100 x $10 = $1,000 \n" ); document.write( "50 cows is still too much, since 50 x $10 = $500 \n" ); document.write( "since 10 cows cost 10 x $10 = $100, you must spend less than that \n" ); document.write( "Suppose you buy 9 cows, then 9 x $10 = $90 \n" ); document.write( "There is $10 left \n" ); document.write( "If you bought all hens to get 100 animals, that would make \n" ); document.write( "80 hens = 80 x 1/8 = $10, and $90 + $10 = $100, but \n" ); document.write( "there are only 9 + 80 = 89 animals \n" ); document.write( "---------------------------- \n" ); document.write( "Suppose you buy 8 cows, then 8 x $10 = $80 \n" ); document.write( "then 160 hens = 160 x 1/8 = $20, that's 168 animals \n" ); document.write( "If you buy 72 hens, then 72 x 1/8 = $9 \n" ); document.write( "There is $11 left to buy 11 sheep, but 8 + 72 + 11 = 91 \n" ); document.write( "---------------------------- \n" ); document.write( "If you buy 8 cows and 80 hens, that's 80 x 1/8 = $10 \n" ); document.write( "$10 + $80 = $90 , you have $10 to buy 10 sheep, and that's \n" ); document.write( "8 + 80 + 10 = 98 animals \n" ); document.write( "---------------------------- \n" ); document.write( "If you buy 8 cows and 88 hens that's 88 x 1/8 = $11 \n" ); document.write( "$11 + $80 = $91 You have $9 left to buy 9 sheep, and that's \n" ); document.write( "8 + 88 + 9 = 105 animals \n" ); document.write( "----------------------------- \n" ); document.write( "It looks like you can't do it with 8 cows, and I'd guess that \n" ); document.write( "7 cows would work \n" ); document.write( "7 cows = $70 \n" ); document.write( "80 hens = $10 \n" ); document.write( "13 sheep = $13 \n" ); document.write( "$70 + $10 + $13 = $93 \n" ); document.write( "---------------------- \n" ); document.write( "7 cows = $70 \n" ); document.write( "72 hens = $9 \n" ); document.write( "21 sheep = $21 \n" ); document.write( "$70 + $9 + $21 = $100 \n" ); document.write( "That's 100 animals for $100 \n" ); document.write( " \n" ); document.write( " |