document.write( "Question 263135: barbara has no more than $144 to buy jewelry. Earrings cost $12 each and necklaces cost $24 each. How many of each can she buy? Write a linear inequality to describe the situation. Graph the linear inequality and give three possible combinations of errings and necklaces Barbara can buy. \n" ); document.write( "
Algebra.Com's Answer #193966 by Edwin McCravy(20086) $\"\"$ $\"About$
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document.write( "Let x = the number of earrings she buys, \r\n" );
document.write( "and y = the number of necklasses she buys:\r\n" );
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document.write( "Then \r\n" );
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document.write( "To make things easier divide that through by 12:\r\n" );
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document.write( "We also cannot have a negative number of either, so we\r\n" );
document.write( "actually have this system:\r\n" );
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document.write( "The three boundary lines are the equations made by replacing\r\n" );
document.write( "the inequality symbols by equal signs:\r\n" );
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document.write( "Get the intercept points on the line whose equation is\r\n" );
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document.write( "(0,6), (12,0)\r\n" );
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document.write( "The line whose equation is  is the y-axis. \r\n" );
document.write( "and the line whose equation is  is the x-axis.   \r\n" );
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document.write( "Plot those intercepts and draw the boundary lines:\r\n" );
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document.write( "So every point inside that triangle or on the boundary of\r\n" );
document.write( "that triangle which ia a corner point of one of those little \r\n" );
document.write( "squares in the grid represents a possible solution.  There \r\n" );
document.write( "are 49 such points and thus 49 different possible solutions,\r\n" );
document.write( "They are given below. Note that the first case is the origin, (0,0),\r\n" );
document.write( "which represent the case of not buying any earrings or any necklasses!!\r\n" );
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document.write( "1. The point (0,0) represents buying 0 earrings and 0 necklasses costs $0\r\n" );
document.write( "2. The point (0,1) represents buying 0 earrings and 1 necklass costs $24\r\n" );
document.write( "3. The point (0,2) represents buying 0 earrings and 2 necklasses costs $48\r\n" );
document.write( "4. The point (0,3) represents buying 0 earrings and 3 necklasses costs $72\r\n" );
document.write( "5. The point (0,4) represents buying 0 earrings and 4 necklasses costs $96\r\n" );
document.write( "6. The point (0,5) represents buying 0 earrings and 5 necklasses costs $120\r\n" );
document.write( "7. The point (0,6) represents buying 0 earrings and 6 necklasses costs $144\r\n" );
document.write( "8. The point (1,0) represents buying 1 earrings and 0 necklasses costs $12\r\n" );
document.write( "9. The point (1,1) represents buying 1 earrings and 1 necklass costs $36\r\n" );
document.write( "10. The point (1,2) represents buying 1 earrings and 2 necklasses costs $60\r\n" );
document.write( "11. The point (1,3) represents buying 1 earrings and 3 necklasses costs $84\r\n" );
document.write( "12. The point (1,4) represents buying 1 earrings and 4 necklasses costs $108\r\n" );
document.write( "13. The point (1,5) represents buying 1 earrings and 5 necklasses costs $132\r\n" );
document.write( "14. The point (2,0) represents buying 2 earrings and 0 necklasses costs $24\r\n" );
document.write( "15. The point (2,1) represents buying 2 earrings and 1 necklass costs $48\r\n" );
document.write( "16. The point (2,2) represents buying 2 earrings and 2 necklasses costs $72\r\n" );
document.write( "17. The point (2,3) represents buying 2 earrings and 3 necklasses costs $96\r\n" );
document.write( "18. The point (2,4) represents buying 2 earrings and 4 necklasses costs $120\r\n" );
document.write( "19. The point (2,5) represents buying 2 earrings and 5 necklasses costs $144\r\n" );
document.write( "20. The point (3,0) represents buying 3 earrings and 0 necklasses costs $36\r\n" );
document.write( "21. The point (3,1) represents buying 3 earrings and 1 necklass costs $60\r\n" );
document.write( "22. The point (3,2) represents buying 3 earrings and 2 necklasses costs $84\r\n" );
document.write( "23. The point (3,3) represents buying 3 earrings and 3 necklasses costs $108\r\n" );
document.write( "24. The point (3,4) represents buying 3 earrings and 4 necklasses costs $132\r\n" );
document.write( "25. The point (4,0) represents buying 4 earrings and 0 necklasses costs $48\r\n" );
document.write( "26. The point (4,1) represents buying 4 earrings and 1 necklass costs $72\r\n" );
document.write( "27. The point (4,2) represents buying 4 earrings and 2 necklasses costs $96\r\n" );
document.write( "28. The point (4,3) represents buying 4 earrings and 3 necklasses costs $120\r\n" );
document.write( "29. The point (4,4) represents buying 4 earrings and 4 necklasses costs $144\r\n" );
document.write( "30. The point (5,0) represents buying 5 earrings and 0 necklasses costs $60\r\n" );
document.write( "31. The point (5,1) represents buying 5 earrings and 1 necklass costs $84\r\n" );
document.write( "32. The point (5,2) represents buying 5 earrings and 2 necklasses costs $108\r\n" );
document.write( "33. The point (5,3) represents buying 5 earrings and 3 necklasses costs $132\r\n" );
document.write( "34. The point (6,0) represents buying 6 earrings and 0 necklasses costs $72\r\n" );
document.write( "35. The point (6,1) represents buying 6 earrings and 1 necklass costs $96\r\n" );
document.write( "36. The point (6,2) represents buying 6 earrings and 2 necklasses costs $120\r\n" );
document.write( "37. The point (6,3) represents buying 6 earrings and 3 necklasses costs $144\r\n" );
document.write( "38. The point (7,0) represents buying 7 earrings and 0 necklasses costs $84\r\n" );
document.write( "39. The point (7,1) represents buying 7 earrings and 1 necklass costs $108\r\n" );
document.write( "40. The point (7,2) represents buying 7 earrings and 2 necklasses costs $132\r\n" );
document.write( "41. The point (8,0) represents buying 8 earrings and 0 necklasses costs $96\r\n" );
document.write( "42. The point (8,1) represents buying 8 earrings and 1 necklass costs $120\r\n" );
document.write( "43. The point (8,2) represents buying 8 earrings and 2 necklasses costs $144\r\n" );
document.write( "44. The point (9,0) represents buying 9 earrings and 0 necklasses costs $108\r\n" );
document.write( "45. The point (9,1) represents buying 9 earrings and 1 necklass costs $132\r\n" );
document.write( "46. The point (10,0) represents buying 10 earrings and 0 necklasses costs $120\r\n" );
document.write( "47. The point (10,1) represents buying 10 earrings and 1 necklass costs $144\r\n" );
document.write( "48. The point (11,0) represents buying 11 earrings and 0 necklasses costs $132\r\n" );
document.write( "49. The point (12,0) represents buying 12 earrings and 0 necklasses costs $144\r\n" );
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document.write( "Edwin
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