Question

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?

A. 4.2
B. 12.6
C. 14.0
D. 18.0
E. 21.0

Answer 1

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 2

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=(42)/(10)\\\\\Rightarrow x=4.2.`

Therefore, the quantity of the ingredient B is given by

`3*4.2=12.6~\textup{pounds}.`

Thus, option (B) is CORRECT.