Solving a value mixture problem using a linear equation

Question

Juan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Juan
$5.85
per pound, and type B coffee costs
$4.30
per pound. This month, Juan made
130
pounds of the blend, for a total cost of
$641.15
. How many pounds of type B coffee did he use?

Answer 1

Type A coffe he used = x

Type B coffee he used =y

 

This month, Juan made 130

so

x+y=130    _________ eq 1

 

for a total cost of $641.15

5.85x + 4.30y = 641.15_________ eq 2

 

solve these 2 equation to get value of x and y