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Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound

and wild bird seed sells for $0.95 per pound. If she bought 12 pounds of wild bird seed, write

and solve a linear equation to find the amount of thistle bird seed she purchased

Respuesta :

calculista

Answer:

The amount of thistle bird seed she purchased was 7.5 pounds

Step-by-step explanation:

Let

x ----> the amount in pounds of thistle bird seed she purchased

x ----> the amount in pounds of wild bird seed she purchased

we know that

Kate bought $23.40 worth of two types of bird seed.

so

[tex]1.60x+0.95y=23.40[/tex] ----> equation A

She bought 12 pounds of wild bird seed

so

[tex]y=12\ pounds[/tex]

substitute the value of y in the equation A

[tex]1.60x+0.95(12)=23.40[/tex]

solve for x

[tex]1.60x=23.40-11.40\\1.60x=12\\x=7.5\ pounds[/tex]

therefore

The amount of thistle bird seed she purchased was 7.5 pounds

francocanacari

Kate bought 7.5 pounds of thistle bird seed.

Since Kate bought $ 23.40 worth of two types of bird seed, thistle bird seed sells for $ 1.60 per pound and wild bird seed sells for $ 0.95 per pound, if she bought 12 pounds of wild bird seed, to find the amount of thistle bird seed she purchased, the following calculation must be performed, through a linear function:

  • (12 x 0.95) + 1.60X = 23.40
  • 11.40 + 1.60X = 23.40
  • 1.60X = 23.4 - 11.4
  • X = 12 / 1.60
  • X = 7.5

Therefore, Kate bought 7.5 pounds of thistle bird seed.

Learn more in https://brainly.com/question/3400735

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