document.write( "Question 663303: Hi I need help on knowing how to solve for word problems using systems; Ex: if 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $0.70, how much does each apple and each orange cost? ... Thanks! \n" ); document.write( "
Algebra.Com's Answer #412711 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
This is a very common type of problem.
\n" ); document.write( "Let A be the number of apples and O be the number of oranges.
\n" ); document.write( "You are told
\n" ); document.write( "\"4A+%2B+2O+=+100\" we are using cents here instead of dollars
\n" ); document.write( "\"2A+%2B+3O+=+70\"
\n" ); document.write( "You have two equations and two unknowns. So you can solve this one
\n" ); document.write( "Now you can use your favorite method to solve.
\n" ); document.write( "Let's use substitution
\n" ); document.write( "\"4A+%2B+2O+=+100\"
\n" ); document.write( "\"2A+%2B+O+=+50\"
\n" ); document.write( "\"O+=+50+-+2A\"\r
\n" ); document.write( "\n" ); document.write( "Now use that and plug it into the second equation as follows
\n" ); document.write( "\"2A+%2B+3O+=+70\"
\n" ); document.write( "\"2A+%2B+3%2A%2850-2A%29+=+70\"
\n" ); document.write( "\"2A+%2B+150+-+6A+=+70\"
\n" ); document.write( "\"-4A+=+-80\"
\n" ); document.write( "\"A+=+20\" so an apple is 20 cents
\n" ); document.write( "If an apple it 20 then plug in to find the cost of an orange
\n" ); document.write( "\"4%2A20+%2B+2O+=+100\"
\n" ); document.write( "\"80+%2B+2O+=+100\"
\n" ); document.write( "\"2O+=+20\"
\n" ); document.write( "\"O+=+10\" oranges are a dime. Go not sure what store you shop at, but fruit is a steal :)\r
\n" ); document.write( "\n" ); document.write( "Check you answer using the second equation. Does
\n" ); document.write( "\"2A+%2B+3O+=+70\"???
\n" ); document.write( "
\n" ); document.write( "
\n" );