SOLUTION: if you can help i would greatly appreciate it, One cup of vegetable A, six pieces of vegetable B, and one cup of vegetable C contain 12 grams of carbohydrates. One cup of veget

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: if you can help i would greatly appreciate it, One cup of vegetable A, six pieces of vegetable B, and one cup of vegetable C contain 12 grams of carbohydrates. One cup of veget      Log On


   

Question 80320: if you can help i would greatly appreciate it,
One cup of vegetable A, six pieces of vegetable B, and one cup of vegetable C contain 12 grams of carbohydrates. One cup of vegetable A and six pieces of vegetable B have 1/2 the carbs of 1 cup of vegetable C. One cup each of vegetables A and C have 3 times the carbs of a serving of vegetable B. Find the number of grams of carbs in the given potion size of each vegetable.
vegetable A has [] grams, B has [] grams, and C has [] grams
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
three unknowns need three different equations ... the equations for this case are:

A+B+C=12 ... A+B=C/2 ... A+C=3B

subtract second equation from first equation to get C=12-(C/2) ... (3/2)C=12 ... C=8

subtract third equation from first equation to get B=12-3B ... 4B=12 ... B=3

using first equation A+3+8=12 ... A=1