A coffee maker uses coffee beans from Brazil and Colombia, to produce two mixtures, and delivers robust mild.A mixing solid requires 12 ounces of beans Colombian, 4 ounces of grains in Brazil. A book of the mixture requires 6 oz beans Colombian mild, 10 oz of grains in Brazil. Coffee is shipped in jute bags of 99 kilos. The company has 47 sacks of Colombian beans and 25 bags of beans from Brazil in his hand. How many pounds of each blend is made to use all available cores?
Use: a robust Columbian = (4.3) + (4.1) = bra slightly (8.3) Columbian + (5.8) from Brazil: £ 99 * 47 = 4653 in Colombia Colombia 25 * 99 = £ 2 475 Brazil Brazilian way: the total coffee = (47 +25) * 99 = 7128 X = lb Sea to robust. Sea (7128-X) = pounds of mild to do. X * (solid) + (7128-X) * (soft) = 4.653 + 2.475 Colombian Brazilian Let C = pounds of books in Quebec Columbian B = Brazil rewrite C and B (for simplicity): X * ((4.3) + C (1.4) B) + ((7128-X) * ((3 / C + (5 / B)) = 4653C 2475B and solve for X: (3,4) CX + (04/01) BX + 2673C - (08.03) + CX 4455B - (05.08) = BX + 4653C 2475B (3.4) CX + (01.04) BX - (3.8) CX - (05/08) + BX + = 2475B 4455B 2673C 4653C + X [(4.3) C + (4.1) B - (08/03) C - (8.5) B] + + = 2673C 2475B 4455B 4653C + x [(03/04) + C (1.4) B - ( 08/03) C - (08.05)] + B + 2673C 4455B = (4653-2673) C + (2475-4455) B x [(8.3) C - (3 / B] = (4653-2.673) + C (2475 to 4455) B x [(8.3) C - (8.3) B] = 1980c, 1980b x = (1980c, 1980b) / ((08/03) C - (8.3) B) x = 8 (1980c, 1980b) / (3C - 3B) x = 8 (660C-660B) / (C - B) x = 5280 (CB) / (C - B) x = 5280 Solve for mild: 7128-5280 = 1848 = Light To check, monitor usage of the Colombian coffee: 5280 * (4.3) + 1,848 * (3.8) = 47 * 99 3960 + 693 = 4653 = 4653 4653 box. Now check the use of Brazilian coffee: 5280 * (1 / 4) + 1.848 * (8.5) = 25 * 99 = 2475 2475 box. Answer: To generate £ 5280 to 1848 pounds robusta and mild.
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