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.
<h3>What is a system of equations?</h3>
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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