# SOLUTION: I need assistance with these homework problems please: 6) Which of the four systems can be used to solve the following problem: A coffee shop carries two blends of coffee. The f

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 Question 458739: I need assistance with these homework problems please: 6) Which of the four systems can be used to solve the following problem: A coffee shop carries two blends of coffee. The first blend contains 20% Mexican coffee and 80% Columbian coffee. The second blend contains 60% Mexican coffee and 40% Columbian coffee. How many pounds of each blend should be combined to create a new blend that contains 30 pounds of Mexican coffee and 70 pounds of Columbian coffee? Let x be the amount of blend 1 and y the amount of blend 2. (A) .8x+.4y=70 .2x+.6y=30 (B) .6x+.4y=70 .2x+.8y=30 (C) .2x+.8y=30 x+y=100 (D) .4x+.8y=70 .6x+.2y=30 I chose (A) 7) Which of the three systems can be used to solve the following problem: Last year an investment firm invested 200 million dollars in three mutual funds. Mutual fund #1 yielded a 4% return, mutual fund #2 5%, and mutual fund #3 8%. The total amount of return from the three funds was 13 million dollars. It was known that the amount invested in mutual fund #1 and mutual fund #2 combined equaled the amount invested in mutual fund #3. Let x be the amount invested in mutual fund #1, y mutual fund #2, and z mutual fund #3. (A) 4x+5y+8z= 1300 x+y-z= 0 x+y+z= 200 (B) 0.4x+0.5y+0.8z= 13 x+y+z=200 x+y=z (C) x+y+z=200 x=y+z 0.04x+0.05y+0.08z=13 I chose (A) 8) The initial array corresponding to a system is (1 0 5 | -2) (-1 1 -3 | 5) . Which of the following is the GENERAL solution to the system? (A) any real number y=-3z-x+ 5 x=5z- 2 z= any real number (B) x=-2=5z y=3-2z z=any real number (C) x=-2 y=3 z=0 (D) x=3 y=5 z=-1 I chose (B) are these correct?Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!6) Which of the four systems can be used to solve the following problem: A coffee shop carries two blends of coffee. The first blend contains 20% Mexican coffee and 80% Columbian coffee. The second blend contains 60% Mexican coffee and 40% Columbian coffee. How many pounds of each blend should be combined to create a new blend that contains 30 pounds of Mexican coffee and 70 pounds of Columbian coffee? Let x be the amount of blend 1 and y the amount of blend 2. (A) Columbian Coffee:::0.8x+.4y=70 Mexican Coffee:::::.2x+.6y=30 I chose (A) GOOD ============================ 7) Which of the three systems can be used to solve the following problem: Last year an investment firm invested 200 million dollars in three mutual funds. --------------------- Mutual fund #1 yielded a 4% return, mutual fund #2 5%, and mutual fund #3 8%. The total amount of return from the three funds was 13 million dollars. ----------------------------- It was known that the amount invested in mutual fund #1 and mutual fund #2 combined equaled the amount invested in mutual fund #3. Let x be the amount invested in mutual fund #1, y mutual fund #2, and z mutual fund #3. (A) Interest Eq::::4x+5y+8z= 1300 Quantity Eq:::: x+y-z= 0 Quantity Eq:::::x+y+z= 200 I chose (A) GOOD ------------------------------------------------------------------- 8) The initial array corresponding to a system is (1 0 5 | -2) (-1 1 -3 | 5) . Which of the following is the GENERAL solution to the system? (B) x=-2-5z y=3-2z z=any real number I chose (B) are these correct? GOOD ============================ Cheers, Stan H.