Question

Find and solve a system of linear equations to answer the question below.

Answer 1

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