52,55,57,58
46. x+2y22=3 x-y =4 x--3y+z=6 3x-- y2=6 x yz=0 _x+y__ MODELING Solve each problem. 49. 50. 51. 52. : 53. Feed Requirements Solve the system from Example 6. 25x + 40y + 202 = 2200 4x -- 2y + 32 280 3x -- 2y + z 180 Coin Collecting A coin collection made up of pennies, nickels, and quarters contains a total of 29 coins. The num- ber of quarters is 8 less than the number of pennies. The total face value of the coins is $177. How many of each denomination are there Mixing Waters A sparkling-water distributor wants to make up 300 gallons of sparkling water to sell for $6.00 per gallon. She wishes to mix three grades of water selling for $9.00, $3.00, and $4.50 per gallon, respectively. She must use twice as much of the $4.50 water as the $3.00 water. How many gallons of each should she use? Mixing Glue A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per bar rel. It must use the same number of barrels of $150 and $190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced Pricing Tickets Three students buy different combina- tions of tickets for a baseball game. The first student buys 2 senior, 1 adult, and 2 student tickets for $51. The second student buys 1 adult and 5 student tickets for $55. The third student buys 2 senior, 2 adult, and 7 student tickets for $75. If possible, nd the price of each type of ticket. Interpret your answer. 3xy4z=5 x+y+h=0 47. 2xy--22=6 2=0 x32=6 a 54. 55. 56. 57. 58. x y z=3 x+3y+3z=5 48. x+2y--2=0 3x+2y 2:4 x+2y--3z=4 Investments A total of $5000 is invested at 2%, 3%, and 4%. The amount invested at 4% equals the total amount invested at 2% and 3%. The total interest for one year is $145. If possible, nd the amount invested at each interest rate. Interpret your answer. Top Social Networks As of 2017, the total combined number of monthly users of Facebook, Instagram, and Twitter was 223 million. The combined number of users of Instagrain and Twitter was 23 million less than the number of users of Facebook. There were 18 million more users of Instagram than users of Twitter. How many users of each social network were there? Beauty Brands As of 2017, the top three beauty brands on Facebook (L' Oral, Dove, and NIVEA) had a combined 74 million followers. L'Oral and Dove had the same num- ber of followers, and NIVEA had 7 million fewer followers. How many followers did each brand have? Triangle Dimensions The sum of the measures of the angles of any triangle is 180. In a certain triangle, the largest angle measures 55" less than twice the medium angle, and the smallest measures 25 less than the medium angle. Find the measures of the three angles. Triangle Dimensions The perimeter of a triangle is 59 inches. The longest side is 11 inches longer than the medium side, and the medium side is 3 inches more than the shortest side. Find the length of each side. 1+? x x+
