Question

A coffee shop sells assorted types of coffees, and blends them into their "signature blends". Columbian sells for $5.00 per pound, and Jamaican sells for $6.40 per pound. A customer pays $18.85 for 3 pounds of a blend. How much of each type of coffee goes into the blend?

Answer 1

Using a system of equations, it is found that the blend contains 0.25 pounds of the Colombian blend and 0.75 pounds of the Jamaican blend.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

• Variable x: Amount of the Colombian blend.

• Variable y: Amount of the Jamaican blend.

A customer pays $18.85 for 3 pounds of a blend, hence:

x + y = 3 -> y = 3 - x

5x + 6.4y = 18.85

Since y = 3 - x:

5x + 6.4(3 - x) = 18.85

1.4x = 0.35

x = 0.35/1.4

x = 0.25

y = 3 - x = 3 - 0.25 = 2.75.

0.25 pounds of the Colombian blend and 0.75 pounds of the Jamaican blend.

More can be learned about a system of equations at brainly.com/question/24342899

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