Problema Solution
A Staff hospital dietician has two prepackaged mixtures of vitamin additives available for patients. Mixture 1 contains 5 grams of vitamin C and 3 grams of niacin; mixture 2 contains 6 grams of vitamin C and 5 grams of niacin. On a average day she needs 87 grams of niacin and 117 grams of vitamin C. How many packets of each mixture will she need.
Answer provided by our tutors
let
x = the number of packets of Mixture 1
y = the number of packets of Mixture 2
on a average day she needs 87 grams of niacin
3x + 5y = 87
and 117 grams of vitamin C
5x + 6y = 117
by solving the system of equations
3x + 5y = 87
5x + 6y = 117
we find
x = 9 packets
y = 12 packets
click here to see the step by step solution of the system of equations
She will need 9 packets of the Mixture 1 and 12 packets of the Mixture 2.