Kaapo is mixing kona beans and maui beans to make 25 pounds of coffee blend. kona beans cost kaapo $15 per pound and maui beans cost $24 per pound. how many pounds of each coffee bean should kaapo use for his blend to cost him $17.70 per pound?

Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of pounds of the coffee blend = 25

Cost of Kona beans = US$ 15 per pound

Cost of Maui beans = US$ 24 per pound

Cost of the coffee blend = US$ 17.70 per pound

2. How many pounds of each coffee bean should Kaapo use for his blend to cost him $17.70 per pound?

Let's build our equation to answer the question, this way:

x = Number of pounds of Kona beans for Kaapo's blend

25 - x = Number of pounds of Maui beans for Kaapo's blend

Number of pounds of Kona beans for Kaapo's blend * Cost of Kona beans +  Number of pounds of Maui beans for Kaapo's blend * Cost of Maui beans = Number of pounds of the coffee blend * Cost of the coffee blend

Replacing with the real values, we have:

15x + 24 (25-x) = 17.70 * 25

15x + 600 - 24x = 442.50

-9x = 442.50 - 600

-9x = -157.50

x = -157.50/-9

x = 17.50 ⇒ 25 - x = 7.50

Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.

Given:

The distance y (in meters) that runner A travels on a track in x minutes is represented by the equation

To find:

How many meters per minute is runner A traveling.

Solution:

We have,

           ...(i)

Where, y is the distance in meters and traveling x minutes.

We need to find the slope of the above equation to find the number of meters  traveling by the runner per minute.

The slope intercept form of a line is:

          ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

Therefore, the runner is traveling 130 meters per minute.