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

Colombian coffee: 100 kg

Ethiopian coffee: 200

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`

`(3y)/(3)=(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.