Question

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Breakfast blend with the Kenya blend, but always in the same proportion. Yesterday, you mixed 80 pounds of the Breakfast blend with 24 pounds of the Kenya blend. Today, there is 70 pounds of the Breakfast coffee left in stock. How many pounds of the Kenya coffee should you mix with it to get your secret blend? Answer: pounds

Answer 1

Answer = 21 pounds of Kenya blend to mix with 70 pounds of the Breakfast blend.

Step-by-step explanation

We are told that the proportion in which the Breakfast Blend is mixed with the Kenya blend is evident in the mixing yesterday.

80 pounds of Breakfast blend = 24 pounds of Kenya blend

Let the amount of Kenya blend that will work in mixing 70 pounds of Breakfast blend according to our given proportion is x pounds

80 pounds of Breakfast blend = 24 pounds of Kenya blend

70 pounds of Breakfast blend = x pounds of Kenya blend

We can write a mathematical relationship by cross multiplying

80 × x = 70 × 24

80x = 1680

Divide both sides by 80

(80x/80) = (1680/80)

x = 21 pounds.

Hope this Helps!!!