Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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- For a class picnic, two teachers went to the same store to purchase drinks. One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92. THe other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. A. Write a system of equations to represent the costs of a juice box, j, and a bottle of water, w. B. Determine the acutal cost, in dollars, of each juice box and each bottle of water. C. Juile thinks that the juice boxes cost 45 cents and the water costs 60 cents. Is she correct? Justify your answer using your systems of equations.arrow_forwardSelect the system of equations that represents this situation. Use c to represent the cost of a cup of coffee and w to represent the cost of a bottle of water. 6 cups of coffee and 2 bottles of water cost $14. 8 cups of coffee and 1 bottle of water cost $17. A. 6c+ 2w = 14 8c + w = 17 B. 2c + 6w = 14 c+ 8w = 17 C. c+ w = 17 6c + 2w = 14 D. 6c+ 8w = 14 2c+ w = 17arrow_forwardTwo teachers, Mrs. Dewsbury and Mrs. Pettit, decide to buy calculators and stickers for their classrooms. Mrs. Dewsbury buys 30 calculators and 50 pages of stickers for $95. Mrs. Pettit buys 40 calculators and 40 pages of stickers of each for $116. Write a system of equations to represent the cost of one calculator, c, and one page of stickers, p. A. c + p = 120 70c + 90p = 211 B. c + p = 211 30c + 50p = 40c + 40p C. 30c + 50p = 95 40cp = 116 D. 30c + 50p = 95 40c + 40p = 116arrow_forward
- Nanh is really into magic tricks and decides to put on a show to buy more magic trick kits and accessories. She sells three types of tickets to the show. Adult tickets are $10, young adult tickets are $8, and child tickets are $4. Nanh sells a total of 21 tickets and brings in $140. The number of child tickets sold is twice the number of young adult tickets sold. Write a system of equations to represent this situation where x is the number of adult tickets sold, y is the number of young adult tickets sold, and z is the number of child tickets sold. How many of each type of ticket did Nanh sell? With the $140 she made from the magic show, Nanh now needs to decide what magic tricks she wants to purchase. Small magic kits cost $3 each and larger kits cost $7 each. Nahn wants to buy at least 28 magic kits. Write a system of inequalities to model this situation letting x = the number of small magic kits and y = the number of large magic kits. Then graph the system of inequalities…arrow_forward4. 9 An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation. Peyton thinks that small sundaes cost $2.75 and large sundaes cost $6.75. Is Peyton correct? Justify your answer. Using your equations, determine algebraically the cost of one small sundae and the cost of one large sundae.arrow_forwardOne question help pleasearrow_forward
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