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Select the system of equations that could represent the problem situation and solve. There are twice as many girls as boys in the Science Squad at Hightown Middle School. If 24 students are in the club, how many of them are boys and how many are girls? b + g = 24 g = 2b b + 2g = 24 b + g = 2 boys and girls are in theScience Squad at Hightown Middle School. b + g = 24 b = 2g b + 2g = 24 b = g Fredward is buying juice and soda for his birthday party. He wants to buy 12 total bottles and can spend $29. If juice cost $3 per bottle and soda cost $2 per bottle, how many bottles of each should he buy? Fredward should buy bottles of juiceand bottles of soda for his birthday party. j + s = 29 j + s = 12 j = 3 s = 2 3j + 2s = 29 j + s = 12 3j = 29 2s = 12 440 adults and students attended the Drumond High School orchestra concert. Forty more adults than students attended. How many of each went to the concert. adults and students attended theDrumond High School orchestra concert. a + 40 = 440 s = 440 a + s = 440 a = s + 40 a + s = 440 s = a + 40 a + s = 440 a = 40s At Cinemania Movie Theater, movie tickets for a family of 2 adults and 3 children cost $28. Tickets for a family of 1 adult and 2 children cost $22. How much does an adult ticket and a child ticket cost? Cinemania Movie Theater charges $ for an adult ticket and $ for a child ticket. a = 2 + 1 c = 3 + 2 2 + a + 3 + c = 28 1 + a + 2 + c = 22 2a + 3c = 22 a + 2c = 28 2a + 3c = 28 a + 2c = 22 The 6th grade at Villmont Middle School is going on a field trip to Washington DC. Including the chaperons,232 people are going on the trip. They will travel invans and buses. Each van seats 8 (not counting the driver) and each bus seats 54 (not counting the driver). If they took a total 6 vehicles, how many vans andbuses do they need to take? Villmont Middle School needs vans and buses to go on their trip to Washington DC. v = 8 b = 54 v + b = 6 v + 8 + b + 54 = 232 v + b = 6 8v + 54b = 232 v + b = 232 8v = 54b Cal is planting a garden. He wants to fill it with tulips and daisies. Each tulip bulb cost $2.00, each daisy bulb cost $1.50. He has $45 to spend on these flowers. He wants five less than twice as many tulips as daisies. How many of each flower should he buy? Cal should buy tulip bulbs and daisybulbs to plant in his garden. 2t + 1.50d = 45 t = 2d - 5 2t + 1.50 = 45 d = 2t - 5 t = 2.00 d = 1.50 2t + 1.50d = 45 t = 2d + 5 The sum of two numbers is 52. Their difference is 10. xy = 52 x/y = 10 x + y = 10 x - y = 52 x = and y = x = 52 y = 10 x + y = 52 x - y = 10 Petri planted two trees. The first was 3 feet tall when planted and grows 0.25 feet each month. The second, he planted as a seed 1 foot underground, and it grows 0.5 feet each month. When will the trees be the same height? In months, the trees will both be feet tall. y = 0.25x + 3 y = 0.5x + 1 y = 3x + 0.25 y = -1x + 0.5 y = 0.25x + 3 y = 0.5x - 1 y = 0.25x + 3 y = -0.5x - 1 |