Concept explainers
Find the number of each type of commercial spray that gives the desired mixture.
Answer to Problem 49RE
The amount of spray X, Y and Z present in the mixture are as follows
Explanation of Solution
Given:
The commercial spray X contains 1,2 and 2 parts of the chemical A, B and C
Therefore,
Also, the commercial spray Y contains only chemical C, therefore
Again, the commercial spray Z contains the chemicals A, B and C in equal amounts, therefore
Suppose
Also, suppose a, b and c be the amount of chemicals A, B and C
Since the commercial spray X contains 1,2 and 2 parts of the chemical A, B and C
Therefore,
Also, the commercial spray Y contains only chemical C, therefore
Again, the commercial spray Z contains the chemicals A, B and C in equal amounts, therefore
The amount of chemicals A,B and C contains in the spray is
Since the spray contains 6 gallons of chemicals A, 8 gallons of chemical B and 13 gallons of chemical C, therefore
Solve to above equation to get
Put the values of
Thus, the amount of spray X, Y and Z present in the mixture are as follows
Chapter 7 Solutions
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