document.write( "Question 580495: I planted a total of 75 bean and squash plants. Write an equation to show this.The bean seedlings were $2.26 each, the squash vines were $1.27 each. I spent a total of $123.96. Write an equation to show this.How many bean seedlings did I plant?How many squash vines did I plant
\n" ); document.write( "How do I work this problem? \n" ); document.write( "

Algebra.Com's Answer #371266 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = number of bean seedlings planted
\n" ); document.write( "Let $\"+b+\"$ = number of squash vines planted
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+75+\"$
\n" ); document.write( "(2) $\"+226a+%2B+127b+=+12396+\"$ ( in cents )
\n" ); document.write( "-------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+127+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+226a+%2B+127b+=+12396+\"$
\n" ); document.write( "(1) $\"+-127a+-+127b+=+-9525+\"$
\n" ); document.write( " $\"+99a+=+2871+\"$
\n" ); document.write( " $\"+a+=+29+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+75+\"$
\n" ); document.write( "(1) $\"+29+%2B+b+=+75+\"$
\n" ); document.write( "(1) $\"+b+=+75+-+29+\"$
\n" ); document.write( "(1) $\"+b+=+46+\"$
\n" ); document.write( "29 bean seedlings were planted
\n" ); document.write( "46 squash vines were planted
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+226a+%2B+127b+=+12396+\"$
\n" ); document.write( "(2) $\"+226%2A29+%2B+127%2A46+=+12396+\"$
\n" ); document.write( "(2) $\"+6554+%2B+5842+=+12396+\"$
\n" ); document.write( "(2) $\"+12396+=+12396+\"$
\n" ); document.write( "OK \n" ); document.write( "

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