Question

A customer in a coffee shop purchases a blend of two coffees: kenyan, costing $3.50 a pound, and sri lankan, costing $5.60 a pound. he buys 4 lb of the blend, which costs him $17.15. how many pounds of each kind went into the mixture?

Answer 1

To solve this problem, we can set up a system of equations to represent the costs and quantities of the coffee blend. By solving the system of equations, we find that 0.8 pounds of Kenyan coffee and 3.2 pounds of Sri Lankan coffee went into the mixture.

Step-by-step explanation:

Let's assume x pounds of Kenyan coffee and y pounds of Sri Lankan coffee went into the mixture.

The cost of the blend can be calculated as:

1. The cost of the Kenyan coffee (3.50x)
2. The cost of the Sri Lankan coffee (5.60y)

According to the given information, the total cost of the blend is $17.15.

Therefore, we can form the equation:
3.5x + 5.6y = 17.15

Since the student purchases 4 pounds of the blend, we can form another equation:
x + y = 4

Now we need to solve this system of equations using a method like substitution or elimination.

By solving the system of equations, we find that x = 0.8 pounds of Kenyan coffee and y = 3.2 pounds of Sri Lankan coffee went into the mixture.

Answer 2

Pounds depending on his money spent are: Kenyan: 6.59 pounds, Sri lankan: 10.55.
Depending on his money spent, he actually bought 1.885 pounds (17.15/9.1), because he spent $17.15 for 4 pounds. (which means that he bought 4 pounds in a discount rate)




I hope it helped you!