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A snack food manufacturer uses 2,000 kg of peanuts to make two different snack products. Product A contains 30% peanuts by mass and product B contains 70% peanuts by mass. If the mass of product A is 3 times larger than the mass of product B, what is the mass of product B?

Respuesta :

JeanaShupp

Answer: 1250 kg.

Step-by-step explanation:

Let x = mass of product A.

y=mass of product B

Then , According to the given statement , we have

[tex]0.3x+0.7y=2000-------------(1)\\\\x=3y-----------(2)[/tex]

Put value of x from (2) in (1) ,we get

[tex]0.3(3y)+0.7y=2000[/tex]

[tex]0.9y+0.7y=2000[/tex]

[tex]1.6y=2000[/tex]

[tex]y=\dfrac{2000}{1.6}=\dfrac{20000}{16}=1250[/tex]

Put value of y in (2) ,we get x= 3(1250)=3750 =mass of product A

Therefore, the mass of product B =1250 kg.

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