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?

Respuesta :

Answer: There is 12.6 pounds of ingredient B present.

Step-by-step explanation:

Since we have given that

Ratio of ingredients A, B and C = 2:3:5

Weight of ingredient A = 2x

Weight of ingredient B = 3x

Weight of ingredient C = 5x

Total net weight = 42 pounds

According to question, we get that

[tex]2x+3x+5x=42\\\\10x=42\\\\x=\dfrac{42}{10}\\\\x=4.2\ pounds[/tex]

So, Weight of ingredient B is given by

[tex]3x=3\times 4.2=12.6\ pounds[/tex]

Hence, there is 12.6 pounds of ingredient B present.

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