SOLUTION: Hello !! Please help me with the following problem whish for some reason has driven me mad with anguish over my inability tonight to represent it in the propoer mathematical for

Question 45375: Hello !!
Please help me with the following problem whish for some reason has driven me mad with anguish over my inability tonight to represent it in the propoer mathematical form (linear equation system). Please show me how you work out this problem.
"A glass of milk supplies 0.1 mg of iron and 8.5 mg of protein. A quarter pound of lean meat provides 3.4 mg of iron and 22 g of protein. If a person on a special diet is to have 7.1 mg of iron and 69.5 g of protein, how many glasses of milk and how many quarter-pound servings of meat will provide this?"
THANK YOU LIFE-SAVERS !!
Alex
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Suppose you have x glasses of milk and y quarter pound servings of meat. This would be
IRON: 0.1x +3.4y = 7.1
PROTEIN: 8.5x +22y = 69.5

Solve the system by multiplying the first equation by -85:
-8.5x - 289y =-603.5
8.5x +22y = 69.5

Add the equations:
-267y = -534
servings of meat

If y = 2, then substitute back into either equation:
8.5x+22y = 69.5
8.5x + 44 = 69.5
8.5x = 25.5
glasses of milk.

What a problem! After all that intimidation, it came out even!!

R^2 at SCC

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