Question

5. Starstruck coffee shop mixed Colombian coffee worth $5 per kilogram with Ethiopian coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of each type of coffee should be used to make 300 kilogram of the mixture? Include your equation. *

Answer 1

Answer:

Colombian coffee: 100 kg

Ethiopian coffee: 200

Step-by-step explanation:

Let x represent kg of Colombian coffee and y represent kg of Ethiopian coffee.

We have been given that the mixture of coffee is 300 kg. We can represent this information in an equation as:

$x+y=300...(1)$

$x=300-y...(1)$

We have been given that Starstruck coffee shop mixed Colombian coffee worth $5 per kilogram with Ethiopian coffee worth $8 per kilogram.

Cost of x kg of Colombian coffee would be $5x$ and Cost of y kg of Ethiopian coffee would be $8y$.

The mixture is to sell for $7 per kilogram. We can represent this information in an equation as:

$5x+8y=7(300)...(2)$

Upon substituting equation (1) in equation (2), we will get:

$5(300-y)+8y=7(300)$

$1500-5y+8y=2100$

$1500+3y=2100$

$3y=2100-1500$

$3y=600$

$\frac{3y}{3}=\frac{600}{3}$

$y=200$

Therefore, 200 kg of Ethiopian coffee should be used.

Upon substituting $y=200$ in equation (1), we will get:

$x=300-200=100$

Therefore, 100 kg of Colombian coffee should be used.