SOLUTION: I need to develop a linear system of two equations that will show how many servings of each vegetable will give me the recommended daily allowance of calcuim and iron.... my known

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Question 295971: I need to develop a linear system of two equations that will show how many servings of each vegetable will give me the recommended daily allowance of calcuim and iron....
my known items are:
10 oz pkg of broccoli has 159 mg of calcium and 2.3 mg iron
1/2 c of corn has 3.3 mg of calcium and .3 mg of iron
the RDA of calcium is 1000 mg and RDA of iron is 18 mg
i know that i will need 6 servings of broccoli and 16 servings of corn to get the RDA of each nutrient....but how would I write this out and be able to solve it?
i have gotten as far as x + y = 1018 mg
6x + 16y = 1026 mg but now i am stuck...HELP!

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
look at the nutrients individually

let b equal servings of broccoli and c equal servings of corn

for Ca ___ 159b + 3.3c = 1000

for Fe ___ 2.3b + .3c = 18

solving the simultaneous equations will give the number of servings needed

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