|
Question 57161This question is from textbook
: A single dose of a dietary supplement contains 0.2 gram of calciun and 0.2 gram of vitamin C. A single dose of a second dietary supplement contains 0.1 gram of calcium and 0.4 gram of vitamin C. If a person wants to take 0.6 gram of calicum amd 1.2 grams of vitamin C, how many doses of each supplement should she take?
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A single dose of a dietary supplement contains 0.2 gram of calciun and 0.2 gram of vitamin C. A single dose of a second dietary supplement contains 0.1 gram of calcium and 0.4 gram of vitamin C. If a person wants to take 0.6 gram of calicum amd 1.2 grams of vitamin C, how many doses of each supplement should she take?
---------------------
Let "a" be the number of 1st dietary supplement and "b" be the number of
2nd dietary supplement:
EQUATIONS:
calcium: a(0.2)+b(0.1)= 0.6
Vit C : a(0.2)+b(0.6)=1.2
Subtract "calcium" from Vit C to get:
0.5b=0.6
b=1.2
Substitute into "calcium" to get:
a(0.2)+(1.2)(0.1)=0.6
0.2a +(0.12) =0.6
0.2a=0.48
a=2.4
Chec the answer in Vit C.
It checks.
She needs 2.5 does of 1st dietary supplement and 1.2 does
of 2nd dietary supplement.
Cheers,
Stan H.
|
|
|
| |
