Raina's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs raina $4.40 per pound, and type b coffee costs $5.80 per pound. this month, raina made 171 pounds of the blend, for a total cost of $856.00 . how many pounds of type a coffee did she use?

i just tried to solve this everyway i know possible when you get the answer lmk please.

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is