Question

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. you mix the organic free trade flavor with the kenya flavor, but always in the same proportion. yesterday, you mixed 70 pounds of the organic free trade coffee with 28 pounds of the kenya coffee. today, there are 50 pounds of the organic free trade coffee left in stock. how many pounds of the kenya coffee should you mix with it to get your secret blend?

Answer 1

To get your secret blend, you should mix 20 pounds of kenya coffee with the 50 pounds of organic free trade coffee.

Step-by-step explanation:

To find out how many pounds of the kenya coffee should be mixed with the 50 pounds of organic free trade coffee, we need to maintain the same proportion as yesterday's mixture.

Yesterday, you mixed 70 pounds of the organic free trade coffee with 28 pounds of the kenya coffee. So the ratio of organic free trade coffee to kenya coffee was 70:28, which simplifies to 5:2.

Since there are 50 pounds of the organic free trade coffee left, we can set up a proportion to find the amount of kenya coffee needed:

5/2 = 50/x, where x represents the number of pounds of kenya coffee.

Cross-multiplying, we get 5x = 2 * 50, which simplifies to 5x = 100.

Dividing both sides by 5, we find that x = 20.

Therefore, you should mix 20 pounds of kenya coffee with the 50 pounds of organic free trade coffee to get your secret blend.