Using a system of equations, the amounts in grams of each mix that should be used are given as follows:
<h3>What is a system of equations?</h3>
A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are given as follows:
- Variable a: number of grams of substance A.
- Variable b: number of grams of substance B.
- Variable c: number of grams of substance C.
The mix has 23g of protein, hence, from the table:
0.2a + 0.1b + 0.15c = 23.
The mix has 6.2g of fat, hence:
0.02a + 0.06b + 0.05c = 6.2.
The mix has 16g of moisture, hence:
0.15a + 0.1b + 0.05c = 16.
Hence the system is given by:
- 0.2a + 0.1b + 0.15c = 23.
- 0.02a + 0.06b + 0.05c = 6.2.
- 0.15a + 0.1b + 0.05c = 16.
Using a calculator, the solution for the system is given as follows:
a = 60, b = 50, c = 40.
Which are the amounts in grams of each substance.
<h3>What is the missing information?</h3>
The table containing the compositions of the mix is missing, and is given at the end of the answer.
More can be learned about a system of equations at brainly.com/question/24342899
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