Respuesta :
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:
[tex]x+y=300...(1)[/tex]
[tex]x=300-y...(1)[/tex]
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 [tex]5x[/tex] and Cost of y kg of Ethiopian coffee would be [tex]8y[/tex].
The mixture is to sell for $7 per kilogram. We can represent this information in an equation as:
[tex]5x+8y=7(300)...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]5(300-y)+8y=7(300)[/tex]
[tex]1500-5y+8y=2100[/tex]
[tex]1500+3y=2100[/tex]
[tex]3y=2100-1500[/tex]
[tex]3y=600[/tex]
[tex]\frac{3y}{3}=\frac{600}{3}[/tex]
[tex]y=200[/tex]
Therefore, 200 kg of Ethiopian coffee should be used.
Upon substituting [tex]y=200[/tex] in equation (1), we will get:
[tex]x=300-200=100[/tex]
Therefore, 100 kg of Colombian coffee should be used.
