Question

suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. you mix the kona blend with the rift valley blend, but always in the same proportion. yesterday, you mixed 30 pounds of the kona blend with 12 pounds of the rift valley blend. today, there is 20 pounds of the kona coffee left in stock. how many pounds of the rift valley coffee should you mix with it to get your secret blend?

Answer 1

To find out how many pounds of the Rift Valley coffee should be mixed with the remaining 20 pounds of Kona coffee, we can set up a proportion using the ratio of the two blends in the initial mix.

Step-by-step explanation:

To find out how many pounds of the Rift Valley coffee should be mixed with the remaining 20 pounds of Kona coffee, we need to determine the same proportion used in the initial mix. In the original mix, 30 pounds of Kona blend was mixed with 12 pounds of Rift Valley blend.

So, the ratio of Kona blend to Rift Valley blend is 30:12, which simplifies to 5:2.

To find out how many pounds of Rift Valley coffee we need, we can set up a proportion:

5/2 = 20/x, where x is the unknown amount of Rift Valley coffee.

Cross-multiplying, we get 5x = 2*20, which simplifies to 5x = 40.

Dividing both sides of the equation by 5, we get x = 8.