Answered

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

A4.2
B12.6
C14.0
D18.0
E21.0

Verified Answer :

The ratios add up to 10 so 42/10 is 4.2 and as b is 3parts you times 4.2 by 3 giving you 12.6

Answer:  The correct option is (B) 12.6.

Step-by-step explanation:  Given that an industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2 : 3 : 5 respectively, by weight.

We are to find the number of pounds of the secret ingredient B that are in a 42-pound bucket of this cleaner.

Let the quantities of the ingredients A, B and C in the cleaner be 2x, 3x and 5x respectively.

Then, according to the given information, we have

\(2x+3x+5x=42\\\\\Rightarrow 10x=42\\\\\Rightarrow x=\dfrac{42}{10}\\\\\Rightarrow x=4.2.\)

Therefore, the quantity of the ingredient B is given by

\(3\times4.2=12.6~\textup{pounds}.\)

Thus, option (B) is CORRECT.

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