document.write( "Question 128057: You have $100 dollars. You must purchase a total of 100 animals. Dogs costs $10 each. Cats costs $3 each. Mouse cost .50 cents each. how many Dogs, Cats, Mice do I need to total up to 100 animals and I have to spend the entire $100 dollars. \n" ); document.write( "
Algebra.Com's Answer #93763 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! You have $100 dollars. You must purchase a total of 100 animals. Dogs costs $10 each. Cats costs $3 each. Mouse cost .50 cents each. how many Dogs, Cats, Mice do I need to total up to 100 animals and I have to spend the entire $100 dollars. \n" ); document.write( ": \n" ); document.write( "Here's one solution \n" ); document.write( ": \n" ); document.write( "Let d = no. of dogs \n" ); document.write( "Let c = no. of cats \n" ); document.write( "Let m = no. of mice \n" ); document.write( ": \n" ); document.write( "No. of animal equation: \n" ); document.write( "d + c + m = 100 \n" ); document.write( ": \n" ); document.write( "Total cost of animals equation \n" ); document.write( "10d + 3c + .5m = 100 \n" ); document.write( ": \n" ); document.write( "There can't be very many dogs, 5 at the most \n" ); document.write( "Assume there are 5 dogs \n" ); document.write( "10(5) + 3c + .5m = 100 \n" ); document.write( "3c + .5m = 100 - 50 \n" ); document.write( "3c + .5m = 50 \n" ); document.write( ": \n" ); document.write( "The number of animal equations \n" ); document.write( "5 + c + m = 100 \n" ); document.write( "c + m = 95 \n" ); document.write( ": \n" ); document.write( "Multiply the $$ equation by 2 and subtract the above equation \n" ); document.write( "6c + 1m = 100 \n" ); document.write( "1c + 1m = 95 \n" ); document.write( "--------------- \n" ); document.write( "5c + 0m = 5 \n" ); document.write( "c = 5/5 \n" ); document.write( "c = 1 cat \n" ); document.write( ": \n" ); document.write( "Find mice using c + m = 95 \n" ); document.write( "1 + m = 95 \n" ); document.write( "m = 94 mice \n" ); document.write( ": \n" ); document.write( "Let's assume we have 5 dogs, 1 cat, and 94 mice a total of 100 animals \n" ); document.write( ": \n" ); document.write( "Check the total cost \n" ); document.write( "5(10) + 3(1) + .5(94) = \n" ); document.write( "50 + 3 + 47 = $100 \n" ); document.write( ": \n" ); document.write( " |