Question

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?

Answer 1

$14/lb

Step-by-step explanation:

`\square` Price of brand X be "q"

`\square` 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

Answer 2

$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