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 (3)
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
2 x + 3 x + 5 x = 42 ⇒ 10 x = 42 ⇒ x = 10 42 ⇒ x = 4.2.
**Therefore, the quantity of the ingredient B is given by **
3 × 4.2 = 12.6 pounds .
Thus, option (B) is CORRECT.
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
In a 42-pound bucket of industrial cleaner mixed in the ratio of 2:3:5, ingredient B weighs 12.6 pounds. We find this by calculating the weight of one part from the total and then multiplying by the parts for B. The answer choice is (B) 12.6.
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