Formulate 3x3 Linear systems Dec 7-8

Susie’s Sweet Shop sells chocolate boxes that contain three types of chocolate truffles: solid chocolate truffles, cream center chocolate truffles, and chocolate truffles with nuts. A box containing 5 of each type of truffle costs $41.25. A box containing 10 solid chocolate truffles, 5 cream center chocolate truffles, and 10 chocolate truffles

with nuts costs $68.75. A box with only 24 truffles evenly divided between solid chocolate truffles and chocolate truffles with nuts costs $66.00. If s represents the cost per solid chocolate truffle, c represents the cost per cream center chocolate truffle, and n represents the cost per chocolate truffle with nuts, which system of

equations can be used to determine the cost of each type of chocolate truffle?

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Tags

CCSS.HSA.CED.A.3

The sum of three numbers is 27. The product if the first number times the third number is 56. The quotient of the second number divided by the first number is 1.5. If the first, second and third number are represented by x, y, and z respectively, which system can be used to determine the numbers?

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The Spanish Club is selling plates of food as a fundraiser. A plate with 2 tacos, 2 cheese enchiladas, and 1 tamale costs $8.50. A plate with 3 tacos, 2 cheese enchiladas, and 2 tamales costs $13.00. A plate with 1 taco, 3 cheese enchiladas, and 2 tamales cost $11.25.

If x, y, and z represent the costs of a taco, enchilada, and tamale respectively, write any one of the equations that can be used in a system to determine the cost of a taco, enchilada, and tamale.

Tags

CCSS.HSA.CED.A.3

The sum of three numbers is 19. Two times the first number increased by six times the second number plus the third number is 12. The sum of three times the first number and eight times the second number, increased by the third number is –14.

If the first number is represented by x, the second number is represented by y, and the third number is represented by z, which of the systems of equations below can be used to determine the three numbers?

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Tags

CCSS.HSA.CED.A.3