Answer:
[tex]8\text{ pounds}[/tex]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:
[tex]\frac{70}{28}\text{ = }\frac{5}{2}[/tex]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:
[tex]\begin{gathered} \frac{5}{2}\text{ = }\frac{20}{h} \\ \\ 5\text{ }\times\text{ h = 2}\times20 \\ h\text{ = }\frac{2\times20}{5}\text{ = 8 pounds} \end{gathered}[/tex]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
