Question

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Ethiopian blend with the House blend, but always in the same proportion. Yesterday, you mixed 70 pounds of the Ethiopian blend with 28 pounds of the House blend. Today, there is 20 pounds of the Ethiopian coffee left in stock. How many pounds of the House coffee should you mix with it to get your secret blend?

Answer 1

`8\text{ pounds}`

Step-by-step explanation:

Here, we want to get the weight of the House Coffee to be mixed

The mixing ratio is 70 pounds Ethiopian blend with 28 pounds House blend

This gives a ratio of:

`(70)/(28)\text{ = }(5)/(2)`

What the above means is that for every 5 pounds of Ethiopian blend, we have 2 pounds of the House blend

Now, today, there are 20 pounds of the Ethiopian blend. To satisfy the mixing criteria, we have it that:

`\begin{gathered} (5)/(2)\text{ = }(20)/(h) \\ \\ 5\text{ }*\text{ h = 2}*20 \\ h\text{ = }(2*20)/(5)\text{ = 8 pounds} \end{gathered}`

This means that 8 pounds of the House Coffee should be mixed with the 20 pounds of the Ethiopian blend to get the secret blend