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Answered

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Quick please!!! Buford, the farm hand, is preparing feed for
the animals. He wants to mix the contents of a
bag containing 50% corn with one containing
90% corn to optain a 30-pound bag containing
80% corn. How many pounds of the 50% bag
should he use? (write your answer as a
decimal.)

Sagot :

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Buford should use 7.5 pounds of the 50% corn bag.

How do we solve a system of linear equations from word problems?

A system of linear equation is an equation containing two different equations with variables and the coefficient.

From the given information, let:

  • The weight of the bag containing 50% corn be = x
  • The weight of the bag containing 90% corn be = y

Sp, we can a system of a linear equation that says:

x + y = 30

0.5x + 0.9y = 0.8(30)

Using elimination method

x + y = 30

-

x - 1.8y = -48

0 - 0.8y = -18

y = 18/0.8

y = 22.5

From x + y = 30

x = 30 - 22.5

x = 7.5

Therefore, we can conclude that he should use 7.5 pounds of the 50% corn bag.

Learn more about the system of the linear equations here:

https://brainly.com/question/2226590

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