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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (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