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(50 points!!)
Mrs. Julien’s and Mrs. Castillejo’s classes are selling cookie dough for a school fundraiser. Customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. Mrs. Castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25.

(a) Write the system of equations that model the problem. Be sure to explain which equation represents which situation.

(b) Find the cost of each type of cookie. Show your work.

(c) Explain which method you used to solve the system and why you chose that method.

Respuesta :

sqdancefan

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Answer:

  • macadamia nut chip: $4.33
  • triple chocolate: $3.77

Step-by-step explanation:

a) Let x and y represent the costs of packages of nut and chocolate dough, respectively. Then the equations describing the sales will be ...

  25x +30y = 221.25

  5x +45y = 191.25

__

b) The costs of the packages of dough are ...

  • macadamia nut chip: $4.33
  • triple chocolate: $3.77

__

c) A graphing calculator was used to solve the system. The work is attached. This method was chosen because it is quick and easy.

_____

Additional comment

Note that for the given values of sales, the prices are not integer numbers of cents. The actual values are (x, y) = (4 17/52, 3 10/13). This is unexpected, and suggests that the problem is not carefully considered. With the prices we computed, the sale values would be $221.35 and $191.30. These don't look like numbers where a typo would be involved.

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