document.write( "Question 733744: Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas. Flour cost $1.50/lb. Cornmeal cost $2.50/lb. You want to spend less than $9.50 on flour and cornmeal, and you need at least 4 lb altogether. \r
\n" ); document.write( "\n" ); document.write( " a. Write a system of inequalities that describes this situation.\r
\n" ); document.write( "\n" ); document.write( " b. What are 2 possible solutions to this situation?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #448590 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = pounds of flour needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of cornmeal needed
\n" ); document.write( "Let $\"+C+\"$ = cost
\n" ); document.write( " $\"+C+=+1.5a+%2B+2.5b+\"$
\n" ); document.write( " $\"+C+%3C+9.5+\"$
\n" ); document.write( " $\"+a+%2B+b+%3E=+4+\"$
\n" ); document.write( " $\"+1.5a+%2B+2.5b+%3C+9.5+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+3a+%2B+5b+%3C+19+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+%3E=+4+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "I can see that $\"+a+%3C+19%2F3+\"$ , so
\n" ); document.write( " $\"+a+%3C+6.33+\"$
\n" ); document.write( "and $\"+a+%3E=+4+\"$
\n" ); document.write( " $\"+4+%3C=+a+%3C+6.33+\"$
\n" ); document.write( "--------------
\n" ); document.write( "and $\"+b+%3C+19%2F5+\"$
\n" ); document.write( " $\"+b+%3C+3.8+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Solutions:
\n" ); document.write( "So, I can say $\"+a+=+5+\"$ and $\"+b+=+3%2F5+\"$
\n" ); document.write( "and, also $\"+a+=+4+\"$ and $\"+b+=+6%2F5+\"$
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+a+=+5+\"$ and $\"+b+=+3%2F5+\"$
\n" ); document.write( "(1) $\"+3a+%2B+5b+%3C+19+\"$
\n" ); document.write( "(1) $\"+3%2A5+%2B+5%2A%283%2F5%29+%3C+19+\"$
\n" ); document.write( "(1) $\"+15+%2B+3+%3C+19+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+%2B+b+%3E=+4+\"$
\n" ); document.write( "(2) $\"+5+%2B+3%2F5+%3E=+4+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+a+=+4+\"$ and $\"+b+=+6%2F5+\"$
\n" ); document.write( "(1) $\"+3a+%2B+5b+%3C+19+\"$
\n" ); document.write( "(1) $\"+3%2A4+%2B+5%2A%286%2F5%29+%3C+19+\"$
\n" ); document.write( "(1) $\"+12+%2B+6+%3C+19+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+%2B+b+%3E=+4+\"$
\n" ); document.write( "(2) $\"+4+%2B+6%2F5+%3E=+4+\"$
\n" ); document.write( "OK\r
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