document.write( "Question 1162740: Britney wants to bake at most 10 loaves of bread for a bake sale.
\n" ); document.write( "She wants to make banana bread that sells for Php 50 each loaf
\n" ); document.write( "and carrot bread for Php 60 each and make at least Php 580 sales.
\n" ); document.write( "Write a system of inequalities for the given situation and solve.
\n" ); document.write( "Show also the graph for this system of inequalities. \n" ); document.write( "

Algebra.Com's Answer #786666 by ikleyn(52784) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Let x = the number  of banana bread loaves,\r\n" );
document.write( "\r\n" );
document.write( "    y = the number  of carrot bread loaves.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then your inequalities are\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      x +   y <= 10      (1)    (counting loaves)\r\n" );
document.write( "\r\n" );
document.write( "    50x + 60y >= 580     (2)    (counting money)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You have a system of inequalities consisting of two inequalities, that must be held simultaneously.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use the graphical method to solve it.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In a coordinate plane (x,y) draw the line  y = 10-x, representing first inequality.\r\n" );
document.write( "\r\n" );
document.write( "Draw the second line  y =  = , representing second inequality.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "These lines are shown in my plot below.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Plot y = 10-x  (red),   y =   (green)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The solution set to your inequalities are the points with integer coordinates x and y, that are\r\n" );
document.write( "\r\n" );
document.write( "below or on the red line and above or on the green line.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "As you see from the plot, there are not so many such points (solutions).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The solutions are the points  (x,y) = (0,10) and (1,9).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the examples of solutions, the problems asks for are\r\n" );
document.write( "\r\n" );
document.write( "    a)  0 banana, 10 carrot loaves\r\n" );
document.write( "\r\n" );
document.write( "    b)  1 banana, 9 carrot  loaves.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "From my post, learn on how to solve systems of inequalities graphically.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( " - Solving systems of inequalities in two unknown graphically in a coordinate plane \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find there many other examples of similar solved problems and learn the subject from there once and for all.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );