Question 1115264
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Let x be the number of the marinated mushroom caps;
    y be the number of the spicy meatball;
    z be the number of the deviled eggs.

According to the condition, these tree balance equations are in place:

   3x + 14y + 13z = 123  grams of protein         (1)
   5x +  7y + 15z = 110  grams of fat             (2)
   9x + 15y +  6z = 168  grams of carbohydrate    (3)


So, what Ron must do is to input the coefficients of the matrix and the right side terms into his calculator and then press the button {{{highlight(SOLVE)}}}.

Then he will obtain the answer.


Instead of calculator, I used this popular free of charge online solver in this site

https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver

written by our colleague  <U>Jim Thompson</U> to get this <U>answer</U>:


x = 9   (marinated mushroom caps),
y = 5   (spicy meatball),
z = 2   (deviled eggs).
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