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?
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Algebra.Com's Answer #448591 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
Problems like this require two equations. The first equation describes the amount. The second equation describes cost.


\n" ); document.write( "Call flour f and cornmeal c.


\n" ); document.write( "f + c >= 4 - the total amount is greater or equal to 4 lbs. You need at least 4 lbs - 4 lbs or more.


\n" ); document.write( "1.5f + 2.5c < 9.50 - the cost of each is # of lbs times the cost per pound. And their sum must be less than $9.50.


\n" ); document.write( "Solve the first equation for f in terms of c, then replace f in the second equation with that value.


\n" ); document.write( "f >= 4 - c.


\n" ); document.write( "Since it's greater than or equal to 4-c, one valid solution results from it being equal. So just use equal.


\n" ); document.write( "1.5(4-c) + 2.5c < 9.50


\n" ); document.write( "6 - 1.5c +2.5c < 9.50


\n" ); document.write( "c < 3.5


\n" ); document.write( "Replace a valid value into the f = 4-c equation. 3 is less than 3.5.


\n" ); document.write( "f = 4-3 = 1.


\n" ); document.write( "Another solution is c = 2 lbs (that's less than 3.5)


\n" ); document.write( "f = 4-2 = 2.


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