SOLUTION: Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 113 g protein, 103 g fat, and 132 g carbs. According to the health c

Question 1067098: Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 113 g protein, 103 g fat, and 132 g carbs. According to the health conscious hostees, the meatballs have 14g of protein, 7g fat, and 15g carbs. Mushrooms have 3g protein, 5g fat, and 9g carbs. The deviled eggs have 13g protein, 15g fat, 6g carbs. How many of each snack can he eat to obtain his goal. (Work if possible)
Answer by chen.aavaz(62) (Show Source): You can put this solution on YOUR website!
Let's assume he eats x meatballs, y mushrooms and z eggs.
Then:
Protein: 14x+3y+13z=113 (1)
Fat: 7x+5y+15z=103 (2)
Carbs: 15x+9y+6z=132 (3)
(3)-(2)-(1): we get y:

Then we substitute (4) in (1) and (2) and get:
x=4
y=6
z=3

RELATED QUESTIONS
Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to... (answered by ikleyn)

Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to... (answered by ikleyn)

Ron attends a cocktail party (with his graphing calculator in his pocket).... (answered by ikleyn)

Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to... (answered by greenestamps,ikleyn)

Could you please help me out on this one? Ron ateends a party. He wants to limit his... (answered by stanbon)

Mike wants to keep the cost per person of his party under $15. The party place charges a... (answered by josgarithmetic)

Ron has $1.35 in dimes and quarters in his pocket. If there are twice as many dimes in... (answered by TimothyLamb)

Ron wants to take an early retirement in 10 years when he will be twice as old his... (answered by ankor@dixie-net.com)

Ron sells fresh pineapples at his fruit stand. How much should ron charge for each... (answered by Maths68)