document.write( "Question 1020093: Please help me solve this word problem: An animal shelter spends $3.50 per day to care for each bird and $7.50 per day to care for each cat. Sarah noticed that the shelter spent $137.00 caring for birds and cats on Thursday. Sarah found a record showing that there were a total of 30 birds and cats on Thursday. How many birds were there on Thursday? How many cats were there on Thursday? \n" ); document.write( "

Algebra.Com's Answer #636042 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "Make the cats = 'x'
\n" ); document.write( "and the birds = 'y'
\n" ); document.write( "x + y = 30.......(1)
\n" ); document.write( "350x + 750y = 13700......(20
\n" ); document.write( "Multiply (1) by 350
\n" ); document.write( "350x + 350y = 10500.....(1)
\n" ); document.write( "350x + 750y = 13700.....(2)
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( ".......400y = 3200
\n" ); document.write( "..........y = 8
\n" ); document.write( "Substitute y = 8 into (1)
\n" ); document.write( "x + y = 30.......(1)
\n" ); document.write( "x + 8 = 30
\n" ); document.write( "x = 30 - 8
\n" ); document.write( "x = 22
\n" ); document.write( "22 birds and 8 cats
\n" ); document.write( "were in on Thursday.
\n" ); document.write( "Proof:
\n" ); document.write( "22($3.50) + 8($7.50) = $137.00
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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