SenorMathWiz
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What is the price per lb of brand X coffee if 3 lb were mixed with 9 lb of brand Y coffee which costs $18/lb to make 12 lb of Kathryn's special coffee blend which costs $17/lb?

Respuesta :

semsee45

Answer:

$14 per lb

Step-by-step explanation:

Given:

  • Brand Y = $18 / lb
  • Special Blend = $17 / lb

Let x be the price per lb of brand X coffee

3 lbs of brand X coffee + 9 lb of brand Y coffee = 12 lbs of special blend

⇒ 3x + 9(18) = 12(17)

⇒ 3x + 162 = 204

⇒ 3x = 42

⇒ x = 14

Therefore, brand X costs $14 per lb

fieryanswererft

Answer:

$14/lb

Explanation:

[tex]\square[/tex] Price of brand X be "q"

[tex]\square[/tex] Price of brand Y be "t"

  • 3 lb of Brand X + 9 lb of Brand Y = 12 lb of special coffee blend
  • 3(q) + 9(18) = 12(17)
  • 3(q) = 12(17) - 9(18)
  • 3(q) = 204 - 162
  • 3(q) = 42
  • 3(q)/3 = 42/3
  • q = 14

Per lb of Brand X costs $14