Answer:
$8
Step-by-step explanation:
Let f = 1 kg of French Roast coffee
Let b = 1 kg of Boxer Blend coffee
Given:
- Joanne buys 1 kg of French Roast and 1 kg of Boxer Blend.
- Joanne spends $14 for her purchase.
⇒ f + b = 14
Given:
- Jacob buys 2 kg of French Roast and 3 kg of Boxer Blend.
- Jacob spends $36 for his purchase.
⇒ 2f + 3b = 36
Rewrite the first equation to make f the subject:
⇒ f + b = 14
⇒ f = 14 - b
Substitute this into the second equation and solve for b:
⇒ 2f + 3b = 36
⇒ 2(14 - b) + 3b = 36
⇒ 28 - 2b + 3b = 36
⇒ 28 + b = 36
⇒ 28 + b - 28 = 36 - 28
⇒ b = 8
Therefore, the price of 1 kg of Boxer Blend coffee is $8
